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Finding the Third Proportional to 385,592 and 835,528

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Solution

The third proportional to 385,592 and 835,528 is: 1,810,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,592 : 835,528 = 835,528 : x
  2. Step 2: Convert to fraction form
    385,592/835,528 = 835,528/x
  3. Step 3: Cross multiply
    385,592x = 835,528 × 835,528
  4. Step 4: Simplify right side
    385,592x = 698,107,038,784
  5. Step 5: Solve for x
    x = 698,107,038,784/385,592
  6. Step 6: Final answer
    x = 1,810,481.13

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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.