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Finding the Third Proportional to 456,464 and 709,580

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Solution

The third proportional to 456,464 and 709,580 is: 1,103,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,464 : 709,580 = 709,580 : x
  2. Step 2: Convert to fraction form
    456,464/709,580 = 709,580/x
  3. Step 3: Cross multiply
    456,464x = 709,580 × 709,580
  4. Step 4: Simplify right side
    456,464x = 503,503,776,400
  5. Step 5: Solve for x
    x = 503,503,776,400/456,464
  6. Step 6: Final answer
    x = 1,103,052.54

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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.