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Finding the Third Proportional to 277,387.50 and 597,502.50

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Solution

The third proportional to 277,387.50 and 597,502.50 is: 1,287,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,387.50 : 597,502.50 = 597,502.50 : x
  2. Step 2: Convert to fraction form
    277,387.50/597,502.50 = 597,502.50/x
  3. Step 3: Cross multiply
    277,387.50x = 597,502.50 × 597,502.50
  4. Step 4: Simplify right side
    277,387.50x = 357,009,237,506.25
  5. Step 5: Solve for x
    x = 357,009,237,506.25/277,387.50
  6. Step 6: Final answer
    x = 1,287,041.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.