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Finding the Third Proportional to 455,472 and 648,829.50

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Solution

The third proportional to 455,472 and 648,829.50 is: 924,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,472 : 648,829.50 = 648,829.50 : x
  2. Step 2: Convert to fraction form
    455,472/648,829.50 = 648,829.50/x
  3. Step 3: Cross multiply
    455,472x = 648,829.50 × 648,829.50
  4. Step 4: Simplify right side
    455,472x = 420,979,720,070.25
  5. Step 5: Solve for x
    x = 420,979,720,070.25/455,472
  6. Step 6: Final answer
    x = 924,271.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.