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Finding the Third Proportional to 214,374.50 and 457,248.50

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Solution

The third proportional to 214,374.50 and 457,248.50 is: 975,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,374.50 : 457,248.50 = 457,248.50 : x
  2. Step 2: Convert to fraction form
    214,374.50/457,248.50 = 457,248.50/x
  3. Step 3: Cross multiply
    214,374.50x = 457,248.50 × 457,248.50
  4. Step 4: Simplify right side
    214,374.50x = 209,076,190,752.25
  5. Step 5: Solve for x
    x = 209,076,190,752.25/214,374.50
  6. Step 6: Final answer
    x = 975,284.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.