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Finding the Third Proportional to 427,911 and 662,233.50

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Solution

The third proportional to 427,911 and 662,233.50 is: 1,024,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,911 : 662,233.50 = 662,233.50 : x
  2. Step 2: Convert to fraction form
    427,911/662,233.50 = 662,233.50/x
  3. Step 3: Cross multiply
    427,911x = 662,233.50 × 662,233.50
  4. Step 4: Simplify right side
    427,911x = 438,553,208,522.25
  5. Step 5: Solve for x
    x = 438,553,208,522.25/427,911
  6. Step 6: Final answer
    x = 1,024,870.14

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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.