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Finding the Third Proportional to 292,285 and 465,443.50

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Solution

The third proportional to 292,285 and 465,443.50 is: 741,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,285 : 465,443.50 = 465,443.50 : x
  2. Step 2: Convert to fraction form
    292,285/465,443.50 = 465,443.50/x
  3. Step 3: Cross multiply
    292,285x = 465,443.50 × 465,443.50
  4. Step 4: Simplify right side
    292,285x = 216,637,651,692.25
  5. Step 5: Solve for x
    x = 216,637,651,692.25/292,285
  6. Step 6: Final answer
    x = 741,186.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.