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Finding the Third Proportional to 292,215 and 524,773.50

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Solution

The third proportional to 292,215 and 524,773.50 is: 942,413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,215 : 524,773.50 = 524,773.50 : x
  2. Step 2: Convert to fraction form
    292,215/524,773.50 = 524,773.50/x
  3. Step 3: Cross multiply
    292,215x = 524,773.50 × 524,773.50
  4. Step 4: Simplify right side
    292,215x = 275,387,226,302.25
  5. Step 5: Solve for x
    x = 275,387,226,302.25/292,215
  6. Step 6: Final answer
    x = 942,413.04

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.