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Finding the Third Proportional to 338,577 and 535,669.50

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Solution

The third proportional to 338,577 and 535,669.50 is: 847,493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,577 : 535,669.50 = 535,669.50 : x
  2. Step 2: Convert to fraction form
    338,577/535,669.50 = 535,669.50/x
  3. Step 3: Cross multiply
    338,577x = 535,669.50 × 535,669.50
  4. Step 4: Simplify right side
    338,577x = 286,941,813,230.25
  5. Step 5: Solve for x
    x = 286,941,813,230.25/338,577
  6. Step 6: Final answer
    x = 847,493.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.