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Finding the Third Proportional to 468,645 and 709,541

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Solution

The third proportional to 468,645 and 709,541 is: 1,074,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,645 : 709,541 = 709,541 : x
  2. Step 2: Convert to fraction form
    468,645/709,541 = 709,541/x
  3. Step 3: Cross multiply
    468,645x = 709,541 × 709,541
  4. Step 4: Simplify right side
    468,645x = 503,448,430,681
  5. Step 5: Solve for x
    x = 503,448,430,681/468,645
  6. Step 6: Final answer
    x = 1,074,263.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.