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Finding the Third Proportional to 373,442 and 560,435

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Solution

The third proportional to 373,442 and 560,435 is: 841,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,442 : 560,435 = 560,435 : x
  2. Step 2: Convert to fraction form
    373,442/560,435 = 560,435/x
  3. Step 3: Cross multiply
    373,442x = 560,435 × 560,435
  4. Step 4: Simplify right side
    373,442x = 314,087,389,225
  5. Step 5: Solve for x
    x = 314,087,389,225/373,442
  6. Step 6: Final answer
    x = 841,060.70

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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.