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Finding the Third Proportional to 288,526 and 403,548

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Solution

The third proportional to 288,526 and 403,548 is: 564,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,526 : 403,548 = 403,548 : x
  2. Step 2: Convert to fraction form
    288,526/403,548 = 403,548/x
  3. Step 3: Cross multiply
    288,526x = 403,548 × 403,548
  4. Step 4: Simplify right side
    288,526x = 162,850,988,304
  5. Step 5: Solve for x
    x = 162,850,988,304/288,526
  6. Step 6: Final answer
    x = 564,423.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.