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Finding the Third Proportional to 358,796 and 754,768

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Solution

The third proportional to 358,796 and 754,768 is: 1,587,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,796 : 754,768 = 754,768 : x
  2. Step 2: Convert to fraction form
    358,796/754,768 = 754,768/x
  3. Step 3: Cross multiply
    358,796x = 754,768 × 754,768
  4. Step 4: Simplify right side
    358,796x = 569,674,733,824
  5. Step 5: Solve for x
    x = 569,674,733,824/358,796
  6. Step 6: Final answer
    x = 1,587,739.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.