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Finding the Third Proportional to 425,752 and 709,558

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Solution

The third proportional to 425,752 and 709,558 is: 1,182,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,752 : 709,558 = 709,558 : x
  2. Step 2: Convert to fraction form
    425,752/709,558 = 709,558/x
  3. Step 3: Cross multiply
    425,752x = 709,558 × 709,558
  4. Step 4: Simplify right side
    425,752x = 503,472,555,364
  5. Step 5: Solve for x
    x = 503,472,555,364/425,752
  6. Step 6: Final answer
    x = 1,182,548.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.