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Finding the Third Proportional to 585,018.70 and 898,817.13

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Solution

The third proportional to 585,018.70 and 898,817.13 is: 1,380,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,018.70 : 898,817.13 = 898,817.13 : x
  2. Step 2: Convert to fraction form
    585,018.70/898,817.13 = 898,817.13/x
  3. Step 3: Cross multiply
    585,018.70x = 898,817.13 × 898,817.13
  4. Step 4: Simplify right side
    585,018.70x = 807,872,238,237.28
  5. Step 5: Solve for x
    x = 807,872,238,237.28/585,018.70
  6. Step 6: Final answer
    x = 1,380,934.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.