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Finding the Third Proportional to 430,735.50 and 632,776.50

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Solution

The third proportional to 430,735.50 and 632,776.50 is: 929,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,735.50 : 632,776.50 = 632,776.50 : x
  2. Step 2: Convert to fraction form
    430,735.50/632,776.50 = 632,776.50/x
  3. Step 3: Cross multiply
    430,735.50x = 632,776.50 × 632,776.50
  4. Step 4: Simplify right side
    430,735.50x = 400,406,098,952.25
  5. Step 5: Solve for x
    x = 400,406,098,952.25/430,735.50
  6. Step 6: Final answer
    x = 929,586.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.