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Finding the Third Proportional to 375,312 and 765,904

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Solution

The third proportional to 375,312 and 765,904 is: 1,562,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,312 : 765,904 = 765,904 : x
  2. Step 2: Convert to fraction form
    375,312/765,904 = 765,904/x
  3. Step 3: Cross multiply
    375,312x = 765,904 × 765,904
  4. Step 4: Simplify right side
    375,312x = 586,608,937,216
  5. Step 5: Solve for x
    x = 586,608,937,216/375,312
  6. Step 6: Final answer
    x = 1,562,990.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.