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Finding the Third Proportional to 353,442 and 546,055.50

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Solution

The third proportional to 353,442 and 546,055.50 is: 843,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,442 : 546,055.50 = 546,055.50 : x
  2. Step 2: Convert to fraction form
    353,442/546,055.50 = 546,055.50/x
  3. Step 3: Cross multiply
    353,442x = 546,055.50 × 546,055.50
  4. Step 4: Simplify right side
    353,442x = 298,176,609,080.25
  5. Step 5: Solve for x
    x = 298,176,609,080.25/353,442
  6. Step 6: Final answer
    x = 843,636.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.