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Finding the Third Proportional to 470,373 and 706,617

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Solution

The third proportional to 470,373 and 706,617 is: 1,061,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,373 : 706,617 = 706,617 : x
  2. Step 2: Convert to fraction form
    470,373/706,617 = 706,617/x
  3. Step 3: Cross multiply
    470,373x = 706,617 × 706,617
  4. Step 4: Simplify right side
    470,373x = 499,307,584,689
  5. Step 5: Solve for x
    x = 499,307,584,689/470,373
  6. Step 6: Final answer
    x = 1,061,514.13

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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.