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Finding the Third Proportional to 418,458 and 537,291

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Solution

The third proportional to 418,458 and 537,291 is: 689,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,458 : 537,291 = 537,291 : x
  2. Step 2: Convert to fraction form
    418,458/537,291 = 537,291/x
  3. Step 3: Cross multiply
    418,458x = 537,291 × 537,291
  4. Step 4: Simplify right side
    418,458x = 288,681,618,681
  5. Step 5: Solve for x
    x = 288,681,618,681/418,458
  6. Step 6: Final answer
    x = 689,870.00

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.