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Finding the Third Proportional to 369,514 and 789,572

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Solution

The third proportional to 369,514 and 789,572 is: 1,687,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,514 : 789,572 = 789,572 : x
  2. Step 2: Convert to fraction form
    369,514/789,572 = 789,572/x
  3. Step 3: Cross multiply
    369,514x = 789,572 × 789,572
  4. Step 4: Simplify right side
    369,514x = 623,423,943,184
  5. Step 5: Solve for x
    x = 623,423,943,184/369,514
  6. Step 6: Final answer
    x = 1,687,145.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.