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Finding the Third Proportional to 458,592 and 708,624

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Solution

The third proportional to 458,592 and 708,624 is: 1,094,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,592 : 708,624 = 708,624 : x
  2. Step 2: Convert to fraction form
    458,592/708,624 = 708,624/x
  3. Step 3: Cross multiply
    458,592x = 708,624 × 708,624
  4. Step 4: Simplify right side
    458,592x = 502,147,973,376
  5. Step 5: Solve for x
    x = 502,147,973,376/458,592
  6. Step 6: Final answer
    x = 1,094,977.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.