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Finding the Third Proportional to 586,080 and 890,352

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Solution

The third proportional to 586,080 and 890,352 is: 1,352,591.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,080 : 890,352 = 890,352 : x
  2. Step 2: Convert to fraction form
    586,080/890,352 = 890,352/x
  3. Step 3: Cross multiply
    586,080x = 890,352 × 890,352
  4. Step 4: Simplify right side
    586,080x = 792,726,683,904
  5. Step 5: Solve for x
    x = 792,726,683,904/586,080
  6. Step 6: Final answer
    x = 1,352,591.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.