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Finding the Third Proportional to 385,537 and 835,430

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Solution

The third proportional to 385,537 and 835,430 is: 1,810,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,537 : 835,430 = 835,430 : x
  2. Step 2: Convert to fraction form
    385,537/835,430 = 835,430/x
  3. Step 3: Cross multiply
    385,537x = 835,430 × 835,430
  4. Step 4: Simplify right side
    385,537x = 697,943,284,900
  5. Step 5: Solve for x
    x = 697,943,284,900/385,537
  6. Step 6: Final answer
    x = 1,810,314.66

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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.