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Finding the Third Proportional to 248,913 and 391,513.50

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Solution

The third proportional to 248,913 and 391,513.50 is: 615,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,913 : 391,513.50 = 391,513.50 : x
  2. Step 2: Convert to fraction form
    248,913/391,513.50 = 391,513.50/x
  3. Step 3: Cross multiply
    248,913x = 391,513.50 × 391,513.50
  4. Step 4: Simplify right side
    248,913x = 153,282,820,682.25
  5. Step 5: Solve for x
    x = 153,282,820,682.25/248,913
  6. Step 6: Final answer
    x = 615,808.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.