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Finding the Third Proportional to 415,371 and 645,088.50

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Solution

The third proportional to 415,371 and 645,088.50 is: 1,001,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,371 : 645,088.50 = 645,088.50 : x
  2. Step 2: Convert to fraction form
    415,371/645,088.50 = 645,088.50/x
  3. Step 3: Cross multiply
    415,371x = 645,088.50 × 645,088.50
  4. Step 4: Simplify right side
    415,371x = 416,139,172,832.25
  5. Step 5: Solve for x
    x = 416,139,172,832.25/415,371
  6. Step 6: Final answer
    x = 1,001,849.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.