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Finding the Third Proportional to 607,378.50 and 1,329,152.63

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Solution

The third proportional to 607,378.50 and 1,329,152.63 is: 2,908,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,378.50 : 1,329,152.63 = 1,329,152.63 : x
  2. Step 2: Convert to fraction form
    607,378.50/1,329,152.63 = 1,329,152.63/x
  3. Step 3: Cross multiply
    607,378.50x = 1,329,152.63 × 1,329,152.63
  4. Step 4: Simplify right side
    607,378.50x = 1,766,646,700,544.39
  5. Step 5: Solve for x
    x = 1,766,646,700,544.39/607,378.50
  6. Step 6: Final answer
    x = 2,908,642.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.