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Finding the Third Proportional to 590,264 and 1,304,572

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Solution

The third proportional to 590,264 and 1,304,572 is: 2,883,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,264 : 1,304,572 = 1,304,572 : x
  2. Step 2: Convert to fraction form
    590,264/1,304,572 = 1,304,572/x
  3. Step 3: Cross multiply
    590,264x = 1,304,572 × 1,304,572
  4. Step 4: Simplify right side
    590,264x = 1,701,908,103,184
  5. Step 5: Solve for x
    x = 1,701,908,103,184/590,264
  6. Step 6: Final answer
    x = 2,883,299.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.