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Finding the Third Proportional to 344,695.50 and 514,957.50

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Solution

The third proportional to 344,695.50 and 514,957.50 is: 769,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,695.50 : 514,957.50 = 514,957.50 : x
  2. Step 2: Convert to fraction form
    344,695.50/514,957.50 = 514,957.50/x
  3. Step 3: Cross multiply
    344,695.50x = 514,957.50 × 514,957.50
  4. Step 4: Simplify right side
    344,695.50x = 265,181,226,806.25
  5. Step 5: Solve for x
    x = 265,181,226,806.25/344,695.50
  6. Step 6: Final answer
    x = 769,320.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.