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Finding the Third Proportional to 411,349.50 and 896,508

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Solution

The third proportional to 411,349.50 and 896,508 is: 1,953,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,349.50 : 896,508 = 896,508 : x
  2. Step 2: Convert to fraction form
    411,349.50/896,508 = 896,508/x
  3. Step 3: Cross multiply
    411,349.50x = 896,508 × 896,508
  4. Step 4: Simplify right side
    411,349.50x = 803,726,594,064
  5. Step 5: Solve for x
    x = 803,726,594,064/411,349.50
  6. Step 6: Final answer
    x = 1,953,877.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.