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Finding the Third Proportional to 509,643.62 and 714,412.17

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Solution

The third proportional to 509,643.62 and 714,412.17 is: 1,001,454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,643.62 : 714,412.17 = 714,412.17 : x
  2. Step 2: Convert to fraction form
    509,643.62/714,412.17 = 714,412.17/x
  3. Step 3: Cross multiply
    509,643.62x = 714,412.17 × 714,412.17
  4. Step 4: Simplify right side
    509,643.62x = 510,384,747,137.11
  5. Step 5: Solve for x
    x = 510,384,747,137.11/509,643.62
  6. Step 6: Final answer
    x = 1,001,454.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.