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Finding the Third Proportional to 317,202 and 714,253

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Solution

The third proportional to 317,202 and 714,253 is: 1,608,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,202 : 714,253 = 714,253 : x
  2. Step 2: Convert to fraction form
    317,202/714,253 = 714,253/x
  3. Step 3: Cross multiply
    317,202x = 714,253 × 714,253
  4. Step 4: Simplify right side
    317,202x = 510,157,348,009
  5. Step 5: Solve for x
    x = 510,157,348,009/317,202
  6. Step 6: Final answer
    x = 1,608,304.32

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.