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Finding the Third Proportional to 616,323 and 865,372.50

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Solution

The third proportional to 616,323 and 865,372.50 is: 1,215,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,323 : 865,372.50 = 865,372.50 : x
  2. Step 2: Convert to fraction form
    616,323/865,372.50 = 865,372.50/x
  3. Step 3: Cross multiply
    616,323x = 865,372.50 × 865,372.50
  4. Step 4: Simplify right side
    616,323x = 748,869,563,756.25
  5. Step 5: Solve for x
    x = 748,869,563,756.25/616,323
  6. Step 6: Final answer
    x = 1,215,060.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.