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Finding the Third Proportional to 370,528 and 807,326

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Solution

The third proportional to 370,528 and 807,326 is: 1,759,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,528 : 807,326 = 807,326 : x
  2. Step 2: Convert to fraction form
    370,528/807,326 = 807,326/x
  3. Step 3: Cross multiply
    370,528x = 807,326 × 807,326
  4. Step 4: Simplify right side
    370,528x = 651,775,270,276
  5. Step 5: Solve for x
    x = 651,775,270,276/370,528
  6. Step 6: Final answer
    x = 1,759,044.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.