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Finding the Third Proportional to 562,142 and 738,048

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Solution

The third proportional to 562,142 and 738,048 is: 968,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,142 : 738,048 = 738,048 : x
  2. Step 2: Convert to fraction form
    562,142/738,048 = 738,048/x
  3. Step 3: Cross multiply
    562,142x = 738,048 × 738,048
  4. Step 4: Simplify right side
    562,142x = 544,714,850,304
  5. Step 5: Solve for x
    x = 544,714,850,304/562,142
  6. Step 6: Final answer
    x = 968,998.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.