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Finding the Third Proportional to 290,432 and 456,408

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Solution

The third proportional to 290,432 and 456,408 is: 717,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,432 : 456,408 = 456,408 : x
  2. Step 2: Convert to fraction form
    290,432/456,408 = 456,408/x
  3. Step 3: Cross multiply
    290,432x = 456,408 × 456,408
  4. Step 4: Simplify right side
    290,432x = 208,308,262,464
  5. Step 5: Solve for x
    x = 208,308,262,464/290,432
  6. Step 6: Final answer
    x = 717,235.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.