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Finding the Third Proportional to 473,062.50 and 734,508

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Solution

The third proportional to 473,062.50 and 734,508 is: 1,140,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,062.50 : 734,508 = 734,508 : x
  2. Step 2: Convert to fraction form
    473,062.50/734,508 = 734,508/x
  3. Step 3: Cross multiply
    473,062.50x = 734,508 × 734,508
  4. Step 4: Simplify right side
    473,062.50x = 539,502,002,064
  5. Step 5: Solve for x
    x = 539,502,002,064/473,062.50
  6. Step 6: Final answer
    x = 1,140,445.51

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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.