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Finding the Third Proportional to 368,804 and 569,582

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Solution

The third proportional to 368,804 and 569,582 is: 879,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,804 : 569,582 = 569,582 : x
  2. Step 2: Convert to fraction form
    368,804/569,582 = 569,582/x
  3. Step 3: Cross multiply
    368,804x = 569,582 × 569,582
  4. Step 4: Simplify right side
    368,804x = 324,423,654,724
  5. Step 5: Solve for x
    x = 324,423,654,724/368,804
  6. Step 6: Final answer
    x = 879,664.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.