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Finding the Third Proportional to 464,397 and 948,475.50

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Solution

The third proportional to 464,397 and 948,475.50 is: 1,937,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,397 : 948,475.50 = 948,475.50 : x
  2. Step 2: Convert to fraction form
    464,397/948,475.50 = 948,475.50/x
  3. Step 3: Cross multiply
    464,397x = 948,475.50 × 948,475.50
  4. Step 4: Simplify right side
    464,397x = 899,605,774,100.25
  5. Step 5: Solve for x
    x = 899,605,774,100.25/464,397
  6. Step 6: Final answer
    x = 1,937,148.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.