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Finding the Third Proportional to 360,335 and 765,117

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Solution

The third proportional to 360,335 and 765,117 is: 1,624,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,335 : 765,117 = 765,117 : x
  2. Step 2: Convert to fraction form
    360,335/765,117 = 765,117/x
  3. Step 3: Cross multiply
    360,335x = 765,117 × 765,117
  4. Step 4: Simplify right side
    360,335x = 585,404,023,689
  5. Step 5: Solve for x
    x = 585,404,023,689/360,335
  6. Step 6: Final answer
    x = 1,624,610.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.