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Finding the Third Proportional to 390,655 and 829,272

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Solution

The third proportional to 390,655 and 829,272 is: 1,760,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,655 : 829,272 = 829,272 : x
  2. Step 2: Convert to fraction form
    390,655/829,272 = 829,272/x
  3. Step 3: Cross multiply
    390,655x = 829,272 × 829,272
  4. Step 4: Simplify right side
    390,655x = 687,692,049,984
  5. Step 5: Solve for x
    x = 687,692,049,984/390,655
  6. Step 6: Final answer
    x = 1,760,356.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.