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Finding the Third Proportional to 373,456 and 560,460

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Solution

The third proportional to 373,456 and 560,460 is: 841,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,456 : 560,460 = 560,460 : x
  2. Step 2: Convert to fraction form
    373,456/560,460 = 560,460/x
  3. Step 3: Cross multiply
    373,456x = 560,460 × 560,460
  4. Step 4: Simplify right side
    373,456x = 314,115,411,600
  5. Step 5: Solve for x
    x = 314,115,411,600/373,456
  6. Step 6: Final answer
    x = 841,104.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.