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Finding the Third Proportional to 362,283 and 794,550

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Solution

The third proportional to 362,283 and 794,550 is: 1,742,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,283 : 794,550 = 794,550 : x
  2. Step 2: Convert to fraction form
    362,283/794,550 = 794,550/x
  3. Step 3: Cross multiply
    362,283x = 794,550 × 794,550
  4. Step 4: Simplify right side
    362,283x = 631,309,702,500
  5. Step 5: Solve for x
    x = 631,309,702,500/362,283
  6. Step 6: Final answer
    x = 1,742,587.16

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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.