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Finding the Third Proportional to 374,010.75 and 560,871

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Solution

The third proportional to 374,010.75 and 560,871 is: 841,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,010.75 : 560,871 = 560,871 : x
  2. Step 2: Convert to fraction form
    374,010.75/560,871 = 560,871/x
  3. Step 3: Cross multiply
    374,010.75x = 560,871 × 560,871
  4. Step 4: Simplify right side
    374,010.75x = 314,576,278,641
  5. Step 5: Solve for x
    x = 314,576,278,641/374,010.75
  6. Step 6: Final answer
    x = 841,088.87

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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.