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Finding the Third Proportional to 285,975 and 608,926.50

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Solution

The third proportional to 285,975 and 608,926.50 is: 1,296,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,975 : 608,926.50 = 608,926.50 : x
  2. Step 2: Convert to fraction form
    285,975/608,926.50 = 608,926.50/x
  3. Step 3: Cross multiply
    285,975x = 608,926.50 × 608,926.50
  4. Step 4: Simplify right side
    285,975x = 370,791,482,402.25
  5. Step 5: Solve for x
    x = 370,791,482,402.25/285,975
  6. Step 6: Final answer
    x = 1,296,587.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.