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Finding the Third Proportional to 315,088 and 484,314

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Solution

The third proportional to 315,088 and 484,314 is: 744,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,088 : 484,314 = 484,314 : x
  2. Step 2: Convert to fraction form
    315,088/484,314 = 484,314/x
  3. Step 3: Cross multiply
    315,088x = 484,314 × 484,314
  4. Step 4: Simplify right side
    315,088x = 234,560,050,596
  5. Step 5: Solve for x
    x = 234,560,050,596/315,088
  6. Step 6: Final answer
    x = 744,427.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.