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Finding the Third Proportional to 410,277.66 and 602,104.64

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Solution

The third proportional to 410,277.66 and 602,104.64 is: 883,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,277.66 : 602,104.64 = 602,104.64 : x
  2. Step 2: Convert to fraction form
    410,277.66/602,104.64 = 602,104.64/x
  3. Step 3: Cross multiply
    410,277.66x = 602,104.64 × 602,104.64
  4. Step 4: Simplify right side
    410,277.66x = 362,529,998,262.16
  5. Step 5: Solve for x
    x = 362,529,998,262.16/410,277.66
  6. Step 6: Final answer
    x = 883,621.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.