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Finding the Third Proportional to 415,968 and 608,352

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Solution

The third proportional to 415,968 and 608,352 is: 889,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,968 : 608,352 = 608,352 : x
  2. Step 2: Convert to fraction form
    415,968/608,352 = 608,352/x
  3. Step 3: Cross multiply
    415,968x = 608,352 × 608,352
  4. Step 4: Simplify right side
    415,968x = 370,092,155,904
  5. Step 5: Solve for x
    x = 370,092,155,904/415,968
  6. Step 6: Final answer
    x = 889,713.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.