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Finding the Third Proportional to 456,574 and 709,725

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Solution

The third proportional to 456,574 and 709,725 is: 1,103,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,574 : 709,725 = 709,725 : x
  2. Step 2: Convert to fraction form
    456,574/709,725 = 709,725/x
  3. Step 3: Cross multiply
    456,574x = 709,725 × 709,725
  4. Step 4: Simplify right side
    456,574x = 503,709,575,625
  5. Step 5: Solve for x
    x = 503,709,575,625/456,574
  6. Step 6: Final answer
    x = 1,103,237.54

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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.