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Finding the Third Proportional to 382,464 and 560,160

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Solution

The third proportional to 382,464 and 560,160 is: 820,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,464 : 560,160 = 560,160 : x
  2. Step 2: Convert to fraction form
    382,464/560,160 = 560,160/x
  3. Step 3: Cross multiply
    382,464x = 560,160 × 560,160
  4. Step 4: Simplify right side
    382,464x = 313,779,225,600
  5. Step 5: Solve for x
    x = 313,779,225,600/382,464
  6. Step 6: Final answer
    x = 820,415.06

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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.