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Finding the Third Proportional to 229,527 and 497,167.50

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Solution

The third proportional to 229,527 and 497,167.50 is: 1,076,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,527 : 497,167.50 = 497,167.50 : x
  2. Step 2: Convert to fraction form
    229,527/497,167.50 = 497,167.50/x
  3. Step 3: Cross multiply
    229,527x = 497,167.50 × 497,167.50
  4. Step 4: Simplify right side
    229,527x = 247,175,523,056.25
  5. Step 5: Solve for x
    x = 247,175,523,056.25/229,527
  6. Step 6: Final answer
    x = 1,076,890.84

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