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Finding the Third Proportional to 326,065 and 695,461

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Solution

The third proportional to 326,065 and 695,461 is: 1,483,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,065 : 695,461 = 695,461 : x
  2. Step 2: Convert to fraction form
    326,065/695,461 = 695,461/x
  3. Step 3: Cross multiply
    326,065x = 695,461 × 695,461
  4. Step 4: Simplify right side
    326,065x = 483,666,002,521
  5. Step 5: Solve for x
    x = 483,666,002,521/326,065
  6. Step 6: Final answer
    x = 1,483,342.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.