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Finding the Third Proportional to 608,071.50 and 912,417.75

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Solution

The third proportional to 608,071.50 and 912,417.75 is: 1,369,092.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,071.50 : 912,417.75 = 912,417.75 : x
  2. Step 2: Convert to fraction form
    608,071.50/912,417.75 = 912,417.75/x
  3. Step 3: Cross multiply
    608,071.50x = 912,417.75 × 912,417.75
  4. Step 4: Simplify right side
    608,071.50x = 832,506,150,515.06
  5. Step 5: Solve for x
    x = 832,506,150,515.06/608,071.50
  6. Step 6: Final answer
    x = 1,369,092.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.