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Finding the Third Proportional to 472,822 and 709,717

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Solution

The third proportional to 472,822 and 709,717 is: 1,065,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,822 : 709,717 = 709,717 : x
  2. Step 2: Convert to fraction form
    472,822/709,717 = 709,717/x
  3. Step 3: Cross multiply
    472,822x = 709,717 × 709,717
  4. Step 4: Simplify right side
    472,822x = 503,698,220,089
  5. Step 5: Solve for x
    x = 503,698,220,089/472,822
  6. Step 6: Final answer
    x = 1,065,302.00

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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.