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Finding the Third Proportional to 314,419.50 and 678,655.50

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Solution

The third proportional to 314,419.50 and 678,655.50 is: 1,464,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,419.50 : 678,655.50 = 678,655.50 : x
  2. Step 2: Convert to fraction form
    314,419.50/678,655.50 = 678,655.50/x
  3. Step 3: Cross multiply
    314,419.50x = 678,655.50 × 678,655.50
  4. Step 4: Simplify right side
    314,419.50x = 460,573,287,680.25
  5. Step 5: Solve for x
    x = 460,573,287,680.25/314,419.50
  6. Step 6: Final answer
    x = 1,464,836.91

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Why These Related Problems?

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