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Finding the Third Proportional to 265,853 and 573,447.50

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Solution

The third proportional to 265,853 and 573,447.50 is: 1,236,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,853 : 573,447.50 = 573,447.50 : x
  2. Step 2: Convert to fraction form
    265,853/573,447.50 = 573,447.50/x
  3. Step 3: Cross multiply
    265,853x = 573,447.50 × 573,447.50
  4. Step 4: Simplify right side
    265,853x = 328,842,035,256.25
  5. Step 5: Solve for x
    x = 328,842,035,256.25/265,853
  6. Step 6: Final answer
    x = 1,236,931.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.