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Finding the Third Proportional to 340,651.50 and 716,577

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Solution

The third proportional to 340,651.50 and 716,577 is: 1,507,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,651.50 : 716,577 = 716,577 : x
  2. Step 2: Convert to fraction form
    340,651.50/716,577 = 716,577/x
  3. Step 3: Cross multiply
    340,651.50x = 716,577 × 716,577
  4. Step 4: Simplify right side
    340,651.50x = 513,482,596,929
  5. Step 5: Solve for x
    x = 513,482,596,929/340,651.50
  6. Step 6: Final answer
    x = 1,507,354.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.