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Finding the Third Proportional to 314,331 and 678,475.50

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Solution

The third proportional to 314,331 and 678,475.50 is: 1,464,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,331 : 678,475.50 = 678,475.50 : x
  2. Step 2: Convert to fraction form
    314,331/678,475.50 = 678,475.50/x
  3. Step 3: Cross multiply
    314,331x = 678,475.50 × 678,475.50
  4. Step 4: Simplify right side
    314,331x = 460,329,004,100.25
  5. Step 5: Solve for x
    x = 460,329,004,100.25/314,331
  6. Step 6: Final answer
    x = 1,464,472.18

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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.