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Finding the Third Proportional to 229,480 and 497,090

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Solution

The third proportional to 229,480 and 497,090 is: 1,076,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,480 : 497,090 = 497,090 : x
  2. Step 2: Convert to fraction form
    229,480/497,090 = 497,090/x
  3. Step 3: Cross multiply
    229,480x = 497,090 × 497,090
  4. Step 4: Simplify right side
    229,480x = 247,098,468,100
  5. Step 5: Solve for x
    x = 247,098,468,100/229,480
  6. Step 6: Final answer
    x = 1,076,775.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.