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Finding the Third Proportional to 433,957.50 and 648,354.38

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Solution

The third proportional to 433,957.50 and 648,354.38 is: 968,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,957.50 : 648,354.38 = 648,354.38 : x
  2. Step 2: Convert to fraction form
    433,957.50/648,354.38 = 648,354.38/x
  3. Step 3: Cross multiply
    433,957.50x = 648,354.38 × 648,354.38
  4. Step 4: Simplify right side
    433,957.50x = 420,363,395,581.64
  5. Step 5: Solve for x
    x = 420,363,395,581.64/433,957.50
  6. Step 6: Final answer
    x = 968,674.11

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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.