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Finding the Third Proportional to 470,630.25 and 710,380.13

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Solution

The third proportional to 470,630.25 and 710,380.13 is: 1,072,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,630.25 : 710,380.13 = 710,380.13 : x
  2. Step 2: Convert to fraction form
    470,630.25/710,380.13 = 710,380.13/x
  3. Step 3: Cross multiply
    470,630.25x = 710,380.13 × 710,380.13
  4. Step 4: Simplify right side
    470,630.25x = 504,639,921,995.02
  5. Step 5: Solve for x
    x = 504,639,921,995.02/470,630.25
  6. Step 6: Final answer
    x = 1,072,264.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.