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Finding the Third Proportional to 369,710 and 552,101

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Solution

The third proportional to 369,710 and 552,101 is: 824,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,710 : 552,101 = 552,101 : x
  2. Step 2: Convert to fraction form
    369,710/552,101 = 552,101/x
  3. Step 3: Cross multiply
    369,710x = 552,101 × 552,101
  4. Step 4: Simplify right side
    369,710x = 304,815,514,201
  5. Step 5: Solve for x
    x = 304,815,514,201/369,710
  6. Step 6: Final answer
    x = 824,471.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.