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Finding the Third Proportional to 286,562 and 596,382

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Solution

The third proportional to 286,562 and 596,382 is: 1,241,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,562 : 596,382 = 596,382 : x
  2. Step 2: Convert to fraction form
    286,562/596,382 = 596,382/x
  3. Step 3: Cross multiply
    286,562x = 596,382 × 596,382
  4. Step 4: Simplify right side
    286,562x = 355,671,489,924
  5. Step 5: Solve for x
    x = 355,671,489,924/286,562
  6. Step 6: Final answer
    x = 1,241,167.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.