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Finding the Third Proportional to 229,503 and 497,140.50

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Solution

The third proportional to 229,503 and 497,140.50 is: 1,076,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,503 : 497,140.50 = 497,140.50 : x
  2. Step 2: Convert to fraction form
    229,503/497,140.50 = 497,140.50/x
  3. Step 3: Cross multiply
    229,503x = 497,140.50 × 497,140.50
  4. Step 4: Simplify right side
    229,503x = 247,148,676,740.25
  5. Step 5: Solve for x
    x = 247,148,676,740.25/229,503
  6. Step 6: Final answer
    x = 1,076,886.48

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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.