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Finding the Third Proportional to 282,830 and 594,746

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Solution

The third proportional to 282,830 and 594,746 is: 1,250,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,830 : 594,746 = 594,746 : x
  2. Step 2: Convert to fraction form
    282,830/594,746 = 594,746/x
  3. Step 3: Cross multiply
    282,830x = 594,746 × 594,746
  4. Step 4: Simplify right side
    282,830x = 353,722,804,516
  5. Step 5: Solve for x
    x = 353,722,804,516/282,830
  6. Step 6: Final answer
    x = 1,250,655.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.