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Finding the Third Proportional to 265,579.50 and 411,222

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Solution

The third proportional to 265,579.50 and 411,222 is: 636,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,579.50 : 411,222 = 411,222 : x
  2. Step 2: Convert to fraction form
    265,579.50/411,222 = 411,222/x
  3. Step 3: Cross multiply
    265,579.50x = 411,222 × 411,222
  4. Step 4: Simplify right side
    265,579.50x = 169,103,533,284
  5. Step 5: Solve for x
    x = 169,103,533,284/265,579.50
  6. Step 6: Final answer
    x = 636,734.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.