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Finding the Third Proportional to 614,421 and 953,977.50

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Solution

The third proportional to 614,421 and 953,977.50 is: 1,481,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,421 : 953,977.50 = 953,977.50 : x
  2. Step 2: Convert to fraction form
    614,421/953,977.50 = 953,977.50/x
  3. Step 3: Cross multiply
    614,421x = 953,977.50 × 953,977.50
  4. Step 4: Simplify right side
    614,421x = 910,073,070,506.25
  5. Step 5: Solve for x
    x = 910,073,070,506.25/614,421
  6. Step 6: Final answer
    x = 1,481,188.09

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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.