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Finding the Third Proportional to 342,243 and 532,030.50

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Solution

The third proportional to 342,243 and 532,030.50 is: 827,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,243 : 532,030.50 = 532,030.50 : x
  2. Step 2: Convert to fraction form
    342,243/532,030.50 = 532,030.50/x
  3. Step 3: Cross multiply
    342,243x = 532,030.50 × 532,030.50
  4. Step 4: Simplify right side
    342,243x = 283,056,452,930.25
  5. Step 5: Solve for x
    x = 283,056,452,930.25/342,243
  6. Step 6: Final answer
    x = 827,062.80

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