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Finding the Third Proportional to 373,434 and 560,424

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Solution

The third proportional to 373,434 and 560,424 is: 841,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,434 : 560,424 = 560,424 : x
  2. Step 2: Convert to fraction form
    373,434/560,424 = 560,424/x
  3. Step 3: Cross multiply
    373,434x = 560,424 × 560,424
  4. Step 4: Simplify right side
    373,434x = 314,075,059,776
  5. Step 5: Solve for x
    x = 314,075,059,776/373,434
  6. Step 6: Final answer
    x = 841,045.70

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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.