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Finding the Third Proportional to 669,334.50 and 975,964.50

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Solution

The third proportional to 669,334.50 and 975,964.50 is: 1,423,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,334.50 : 975,964.50 = 975,964.50 : x
  2. Step 2: Convert to fraction form
    669,334.50/975,964.50 = 975,964.50/x
  3. Step 3: Cross multiply
    669,334.50x = 975,964.50 × 975,964.50
  4. Step 4: Simplify right side
    669,334.50x = 952,506,705,260.25
  5. Step 5: Solve for x
    x = 952,506,705,260.25/669,334.50
  6. Step 6: Final answer
    x = 1,423,065.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.