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Finding the Third Proportional to 437,432 and 675,506

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Solution

The third proportional to 437,432 and 675,506 is: 1,043,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,432 : 675,506 = 675,506 : x
  2. Step 2: Convert to fraction form
    437,432/675,506 = 675,506/x
  3. Step 3: Cross multiply
    437,432x = 675,506 × 675,506
  4. Step 4: Simplify right side
    437,432x = 456,308,356,036
  5. Step 5: Solve for x
    x = 456,308,356,036/437,432
  6. Step 6: Final answer
    x = 1,043,152.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.