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Finding the Third Proportional to 385,798 and 520,423

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Solution

The third proportional to 385,798 and 520,423 is: 702,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,798 : 520,423 = 520,423 : x
  2. Step 2: Convert to fraction form
    385,798/520,423 = 520,423/x
  3. Step 3: Cross multiply
    385,798x = 520,423 × 520,423
  4. Step 4: Simplify right side
    385,798x = 270,840,098,929
  5. Step 5: Solve for x
    x = 270,840,098,929/385,798
  6. Step 6: Final answer
    x = 702,025.67

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.