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Finding the Third Proportional to 368,214.75 and 571,476

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Solution

The third proportional to 368,214.75 and 571,476 is: 886,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,214.75 : 571,476 = 571,476 : x
  2. Step 2: Convert to fraction form
    368,214.75/571,476 = 571,476/x
  3. Step 3: Cross multiply
    368,214.75x = 571,476 × 571,476
  4. Step 4: Simplify right side
    368,214.75x = 326,584,818,576
  5. Step 5: Solve for x
    x = 326,584,818,576/368,214.75
  6. Step 6: Final answer
    x = 886,941.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.