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Finding the Third Proportional to 319,464,840.38 and 477,436,514.84

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Solution

The third proportional to 319,464,840.38 and 477,436,514.84 is: 713,523,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,464,840.38 : 477,436,514.84 = 477,436,514.84 : x
  2. Step 2: Convert to fraction form
    319,464,840.38/477,436,514.84 = 477,436,514.84/x
  3. Step 3: Cross multiply
    319,464,840.38x = 477,436,514.84 × 477,436,514.84
  4. Step 4: Simplify right side
    319,464,840.38x = 227,945,625,698,707,840
  5. Step 5: Solve for x
    x = 227,945,625,698,707,840/319,464,840.38
  6. Step 6: Final answer
    x = 713,523,358.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.