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Finding the Third Proportional to 473,688 and 709,296.75

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Solution

The third proportional to 473,688 and 709,296.75 is: 1,062,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,688 : 709,296.75 = 709,296.75 : x
  2. Step 2: Convert to fraction form
    473,688/709,296.75 = 709,296.75/x
  3. Step 3: Cross multiply
    473,688x = 709,296.75 × 709,296.75
  4. Step 4: Simplify right side
    473,688x = 503,101,879,560.56
  5. Step 5: Solve for x
    x = 503,101,879,560.56/473,688
  6. Step 6: Final answer
    x = 1,062,095.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.