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Finding the Third Proportional to 423,373.50 and 913,221

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Solution

The third proportional to 423,373.50 and 913,221 is: 1,969,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,373.50 : 913,221 = 913,221 : x
  2. Step 2: Convert to fraction form
    423,373.50/913,221 = 913,221/x
  3. Step 3: Cross multiply
    423,373.50x = 913,221 × 913,221
  4. Step 4: Simplify right side
    423,373.50x = 833,972,594,841
  5. Step 5: Solve for x
    x = 833,972,594,841/423,373.50
  6. Step 6: Final answer
    x = 1,969,827.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.