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Finding the Third Proportional to 328,024 and 710,454

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Solution

The third proportional to 328,024 and 710,454 is: 1,538,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,024 : 710,454 = 710,454 : x
  2. Step 2: Convert to fraction form
    328,024/710,454 = 710,454/x
  3. Step 3: Cross multiply
    328,024x = 710,454 × 710,454
  4. Step 4: Simplify right side
    328,024x = 504,744,886,116
  5. Step 5: Solve for x
    x = 504,744,886,116/328,024
  6. Step 6: Final answer
    x = 1,538,743.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.