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Finding the Third Proportional to 597,020 and 1,311,326.50

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Solution

The third proportional to 597,020 and 1,311,326.50 is: 2,880,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,020 : 1,311,326.50 = 1,311,326.50 : x
  2. Step 2: Convert to fraction form
    597,020/1,311,326.50 = 1,311,326.50/x
  3. Step 3: Cross multiply
    597,020x = 1,311,326.50 × 1,311,326.50
  4. Step 4: Simplify right side
    597,020x = 1,719,577,189,602.25
  5. Step 5: Solve for x
    x = 1,719,577,189,602.25/597,020
  6. Step 6: Final answer
    x = 2,880,267.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.