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Finding the Third Proportional to 362,482.44 and 794,681.90

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Solution

The third proportional to 362,482.44 and 794,681.90 is: 1,742,206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,482.44 : 794,681.90 = 794,681.90 : x
  2. Step 2: Convert to fraction form
    362,482.44/794,681.90 = 794,681.90/x
  3. Step 3: Cross multiply
    362,482.44x = 794,681.90 × 794,681.90
  4. Step 4: Simplify right side
    362,482.44x = 631,519,327,464.76
  5. Step 5: Solve for x
    x = 631,519,327,464.76/362,482.44
  6. Step 6: Final answer
    x = 1,742,206.70

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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.