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Finding the Third Proportional to 369,130 and 527,855

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Solution

The third proportional to 369,130 and 527,855 is: 754,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,130 : 527,855 = 527,855 : x
  2. Step 2: Convert to fraction form
    369,130/527,855 = 527,855/x
  3. Step 3: Cross multiply
    369,130x = 527,855 × 527,855
  4. Step 4: Simplify right side
    369,130x = 278,630,901,025
  5. Step 5: Solve for x
    x = 278,630,901,025/369,130
  6. Step 6: Final answer
    x = 754,831.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.