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Finding the Third Proportional to 282,804 and 609,887

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Solution

The third proportional to 282,804 and 609,887 is: 1,315,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,804 : 609,887 = 609,887 : x
  2. Step 2: Convert to fraction form
    282,804/609,887 = 609,887/x
  3. Step 3: Cross multiply
    282,804x = 609,887 × 609,887
  4. Step 4: Simplify right side
    282,804x = 371,962,152,769
  5. Step 5: Solve for x
    x = 371,962,152,769/282,804
  6. Step 6: Final answer
    x = 1,315,264.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.