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Finding the Third Proportional to 484,390 and 719,673

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Solution

The third proportional to 484,390 and 719,673 is: 1,069,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,390 : 719,673 = 719,673 : x
  2. Step 2: Convert to fraction form
    484,390/719,673 = 719,673/x
  3. Step 3: Cross multiply
    484,390x = 719,673 × 719,673
  4. Step 4: Simplify right side
    484,390x = 517,929,226,929
  5. Step 5: Solve for x
    x = 517,929,226,929/484,390
  6. Step 6: Final answer
    x = 1,069,240.13

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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.