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Finding the Third Proportional to 363,535 and 575,373

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Solution

The third proportional to 363,535 and 575,373 is: 910,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,535 : 575,373 = 575,373 : x
  2. Step 2: Convert to fraction form
    363,535/575,373 = 575,373/x
  3. Step 3: Cross multiply
    363,535x = 575,373 × 575,373
  4. Step 4: Simplify right side
    363,535x = 331,054,089,129
  5. Step 5: Solve for x
    x = 331,054,089,129/363,535
  6. Step 6: Final answer
    x = 910,652.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.