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Finding the Third Proportional to 368,528 and 803,760

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Solution

The third proportional to 368,528 and 803,760 is: 1,753,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,528 : 803,760 = 803,760 : x
  2. Step 2: Convert to fraction form
    368,528/803,760 = 803,760/x
  3. Step 3: Cross multiply
    368,528x = 803,760 × 803,760
  4. Step 4: Simplify right side
    368,528x = 646,030,137,600
  5. Step 5: Solve for x
    x = 646,030,137,600/368,528
  6. Step 6: Final answer
    x = 1,753,001.50

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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.