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Finding the Third Proportional to 403,464 and 586,278

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Solution

The third proportional to 403,464 and 586,278 is: 851,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,464 : 586,278 = 586,278 : x
  2. Step 2: Convert to fraction form
    403,464/586,278 = 586,278/x
  3. Step 3: Cross multiply
    403,464x = 586,278 × 586,278
  4. Step 4: Simplify right side
    403,464x = 343,721,893,284
  5. Step 5: Solve for x
    x = 343,721,893,284/403,464
  6. Step 6: Final answer
    x = 851,927.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.