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Finding the Third Proportional to 368,854 and 585,537

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Solution

The third proportional to 368,854 and 585,537 is: 929,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,854 : 585,537 = 585,537 : x
  2. Step 2: Convert to fraction form
    368,854/585,537 = 585,537/x
  3. Step 3: Cross multiply
    368,854x = 585,537 × 585,537
  4. Step 4: Simplify right side
    368,854x = 342,853,578,369
  5. Step 5: Solve for x
    x = 342,853,578,369/368,854
  6. Step 6: Final answer
    x = 929,510.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.