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Finding the Third Proportional to 385,254 and 575,748

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Solution

The third proportional to 385,254 and 575,748 is: 860,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,254 : 575,748 = 575,748 : x
  2. Step 2: Convert to fraction form
    385,254/575,748 = 575,748/x
  3. Step 3: Cross multiply
    385,254x = 575,748 × 575,748
  4. Step 4: Simplify right side
    385,254x = 331,485,759,504
  5. Step 5: Solve for x
    x = 331,485,759,504/385,254
  6. Step 6: Final answer
    x = 860,434.31

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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.