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Finding the Third Proportional to 466,344 and 713,047.50

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Solution

The third proportional to 466,344 and 713,047.50 is: 1,090,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,344 : 713,047.50 = 713,047.50 : x
  2. Step 2: Convert to fraction form
    466,344/713,047.50 = 713,047.50/x
  3. Step 3: Cross multiply
    466,344x = 713,047.50 × 713,047.50
  4. Step 4: Simplify right side
    466,344x = 508,436,737,256.25
  5. Step 5: Solve for x
    x = 508,436,737,256.25/466,344
  6. Step 6: Final answer
    x = 1,090,261.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.