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Finding the Third Proportional to 509,304 and 1,079,319.75

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Solution

The third proportional to 509,304 and 1,079,319.75 is: 2,287,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304 : 1,079,319.75 = 1,079,319.75 : x
  2. Step 2: Convert to fraction form
    509,304/1,079,319.75 = 1,079,319.75/x
  3. Step 3: Cross multiply
    509,304x = 1,079,319.75 × 1,079,319.75
  4. Step 4: Simplify right side
    509,304x = 1,164,931,122,740.06
  5. Step 5: Solve for x
    x = 1,164,931,122,740.06/509,304
  6. Step 6: Final answer
    x = 2,287,300.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.