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Finding the Third Proportional to 349,957.50 and 524,806.50

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Solution

The third proportional to 349,957.50 and 524,806.50 is: 787,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,957.50 : 524,806.50 = 524,806.50 : x
  2. Step 2: Convert to fraction form
    349,957.50/524,806.50 = 524,806.50/x
  3. Step 3: Cross multiply
    349,957.50x = 524,806.50 × 524,806.50
  4. Step 4: Simplify right side
    349,957.50x = 275,421,862,442.25
  5. Step 5: Solve for x
    x = 275,421,862,442.25/349,957.50
  6. Step 6: Final answer
    x = 787,015.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.