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Finding the Third Proportional to 351,475.88 and 727,876.13

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Solution

The third proportional to 351,475.88 and 727,876.13 is: 1,507,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,475.88 : 727,876.13 = 727,876.13 : x
  2. Step 2: Convert to fraction form
    351,475.88/727,876.13 = 727,876.13/x
  3. Step 3: Cross multiply
    351,475.88x = 727,876.13 × 727,876.13
  4. Step 4: Simplify right side
    351,475.88x = 529,803,653,345.02
  5. Step 5: Solve for x
    x = 529,803,653,345.02/351,475.88
  6. Step 6: Final answer
    x = 1,507,368.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.