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Finding the Third Proportional to 265,834.41 and 403,666.66

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Solution

The third proportional to 265,834.41 and 403,666.66 is: 612,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,834.41 : 403,666.66 = 403,666.66 : x
  2. Step 2: Convert to fraction form
    265,834.41/403,666.66 = 403,666.66/x
  3. Step 3: Cross multiply
    265,834.41x = 403,666.66 × 403,666.66
  4. Step 4: Simplify right side
    265,834.41x = 162,946,775,675.35
  5. Step 5: Solve for x
    x = 162,946,775,675.35/265,834.41
  6. Step 6: Final answer
    x = 612,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.