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Finding the Third Proportional to 374,533 and 586,901

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Solution

The third proportional to 374,533 and 586,901 is: 919,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,533 : 586,901 = 586,901 : x
  2. Step 2: Convert to fraction form
    374,533/586,901 = 586,901/x
  3. Step 3: Cross multiply
    374,533x = 586,901 × 586,901
  4. Step 4: Simplify right side
    374,533x = 344,452,783,801
  5. Step 5: Solve for x
    x = 344,452,783,801/374,533
  6. Step 6: Final answer
    x = 919,686.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.