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Finding the Third Proportional to 590,476 and 885,560

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Solution

The third proportional to 590,476 and 885,560 is: 1,328,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,476 : 885,560 = 885,560 : x
  2. Step 2: Convert to fraction form
    590,476/885,560 = 885,560/x
  3. Step 3: Cross multiply
    590,476x = 885,560 × 885,560
  4. Step 4: Simplify right side
    590,476x = 784,216,513,600
  5. Step 5: Solve for x
    x = 784,216,513,600/590,476
  6. Step 6: Final answer
    x = 1,328,109.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.