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Finding the Third Proportional to 358,464 and 535,776

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Solution

The third proportional to 358,464 and 535,776 is: 800,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,464 : 535,776 = 535,776 : x
  2. Step 2: Convert to fraction form
    358,464/535,776 = 535,776/x
  3. Step 3: Cross multiply
    358,464x = 535,776 × 535,776
  4. Step 4: Simplify right side
    358,464x = 287,055,922,176
  5. Step 5: Solve for x
    x = 287,055,922,176/358,464
  6. Step 6: Final answer
    x = 800,794.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.