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Finding the Third Proportional to 385,535 and 835,429

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Solution

The third proportional to 385,535 and 835,429 is: 1,810,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,535 : 835,429 = 835,429 : x
  2. Step 2: Convert to fraction form
    385,535/835,429 = 835,429/x
  3. Step 3: Cross multiply
    385,535x = 835,429 × 835,429
  4. Step 4: Simplify right side
    385,535x = 697,941,614,041
  5. Step 5: Solve for x
    x = 697,941,614,041/385,535
  6. Step 6: Final answer
    x = 1,810,319.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.