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Finding the Third Proportional to 314,672 and 498,514

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Solution

The third proportional to 314,672 and 498,514 is: 789,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,672 : 498,514 = 498,514 : x
  2. Step 2: Convert to fraction form
    314,672/498,514 = 498,514/x
  3. Step 3: Cross multiply
    314,672x = 498,514 × 498,514
  4. Step 4: Simplify right side
    314,672x = 248,516,208,196
  5. Step 5: Solve for x
    x = 248,516,208,196/314,672
  6. Step 6: Final answer
    x = 789,762.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.