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Finding the Third Proportional to 472,202 and 712,255

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Solution

The third proportional to 472,202 and 712,255 is: 1,074,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,202 : 712,255 = 712,255 : x
  2. Step 2: Convert to fraction form
    472,202/712,255 = 712,255/x
  3. Step 3: Cross multiply
    472,202x = 712,255 × 712,255
  4. Step 4: Simplify right side
    472,202x = 507,307,185,025
  5. Step 5: Solve for x
    x = 507,307,185,025/472,202
  6. Step 6: Final answer
    x = 1,074,343.58

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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.