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Finding the Third Proportional to 472,788 and 709,182

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Solution

The third proportional to 472,788 and 709,182 is: 1,063,773

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,788 : 709,182 = 709,182 : x
  2. Step 2: Convert to fraction form
    472,788/709,182 = 709,182/x
  3. Step 3: Cross multiply
    472,788x = 709,182 × 709,182
  4. Step 4: Simplify right side
    472,788x = 502,939,109,124
  5. Step 5: Solve for x
    x = 502,939,109,124/472,788
  6. Step 6: Final answer
    x = 1,063,773

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Why These Related Problems?

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