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Finding the Third Proportional to 356,881 and 525,461

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Solution

The third proportional to 356,881 and 525,461 is: 773,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,881 : 525,461 = 525,461 : x
  2. Step 2: Convert to fraction form
    356,881/525,461 = 525,461/x
  3. Step 3: Cross multiply
    356,881x = 525,461 × 525,461
  4. Step 4: Simplify right side
    356,881x = 276,109,262,521
  5. Step 5: Solve for x
    x = 276,109,262,521/356,881
  6. Step 6: Final answer
    x = 773,673.19

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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.