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Finding the Third Proportional to 612,752 and 898,526

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Solution

The third proportional to 612,752 and 898,526 is: 1,317,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,752 : 898,526 = 898,526 : x
  2. Step 2: Convert to fraction form
    612,752/898,526 = 898,526/x
  3. Step 3: Cross multiply
    612,752x = 898,526 × 898,526
  4. Step 4: Simplify right side
    612,752x = 807,348,972,676
  5. Step 5: Solve for x
    x = 807,348,972,676/612,752
  6. Step 6: Final answer
    x = 1,317,578.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.