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Finding the Third Proportional to 676,888 and 898,506

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Solution

The third proportional to 676,888 and 898,506 is: 1,192,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,888 : 898,506 = 898,506 : x
  2. Step 2: Convert to fraction form
    676,888/898,506 = 898,506/x
  3. Step 3: Cross multiply
    676,888x = 898,506 × 898,506
  4. Step 4: Simplify right side
    676,888x = 807,313,032,036
  5. Step 5: Solve for x
    x = 807,313,032,036/676,888
  6. Step 6: Final answer
    x = 1,192,683.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.