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Finding the Third Proportional to 357,412 and 555,720

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Solution

The third proportional to 357,412 and 555,720 is: 864,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,412 : 555,720 = 555,720 : x
  2. Step 2: Convert to fraction form
    357,412/555,720 = 555,720/x
  3. Step 3: Cross multiply
    357,412x = 555,720 × 555,720
  4. Step 4: Simplify right side
    357,412x = 308,824,718,400
  5. Step 5: Solve for x
    x = 308,824,718,400/357,412
  6. Step 6: Final answer
    x = 864,058.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.