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Finding the Third Proportional to 491,663.50 and 772,553

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Solution

The third proportional to 491,663.50 and 772,553 is: 1,213,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,663.50 : 772,553 = 772,553 : x
  2. Step 2: Convert to fraction form
    491,663.50/772,553 = 772,553/x
  3. Step 3: Cross multiply
    491,663.50x = 772,553 × 772,553
  4. Step 4: Simplify right side
    491,663.50x = 596,838,137,809
  5. Step 5: Solve for x
    x = 596,838,137,809/491,663.50
  6. Step 6: Final answer
    x = 1,213,915.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.