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Finding the Third Proportional to 402,260.50 and 837,893

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Solution

The third proportional to 402,260.50 and 837,893 is: 1,745,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,260.50 : 837,893 = 837,893 : x
  2. Step 2: Convert to fraction form
    402,260.50/837,893 = 837,893/x
  3. Step 3: Cross multiply
    402,260.50x = 837,893 × 837,893
  4. Step 4: Simplify right side
    402,260.50x = 702,064,679,449
  5. Step 5: Solve for x
    x = 702,064,679,449/402,260.50
  6. Step 6: Final answer
    x = 1,745,298.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.