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Finding the Third Proportional to 423,324 and 648,472.50

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Solution

The third proportional to 423,324 and 648,472.50 is: 993,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,324 : 648,472.50 = 648,472.50 : x
  2. Step 2: Convert to fraction form
    423,324/648,472.50 = 648,472.50/x
  3. Step 3: Cross multiply
    423,324x = 648,472.50 × 648,472.50
  4. Step 4: Simplify right side
    423,324x = 420,516,583,256.25
  5. Step 5: Solve for x
    x = 420,516,583,256.25/423,324
  6. Step 6: Final answer
    x = 993,368.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.