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Finding the Third Proportional to 480,473 and 736,998

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Solution

The third proportional to 480,473 and 736,998 is: 1,130,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,473 : 736,998 = 736,998 : x
  2. Step 2: Convert to fraction form
    480,473/736,998 = 736,998/x
  3. Step 3: Cross multiply
    480,473x = 736,998 × 736,998
  4. Step 4: Simplify right side
    480,473x = 543,166,052,004
  5. Step 5: Solve for x
    x = 543,166,052,004/480,473
  6. Step 6: Final answer
    x = 1,130,481.95

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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.