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Finding the Third Proportional to 432,018 and 573,268.50

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Solution

The third proportional to 432,018 and 573,268.50 is: 760,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,018 : 573,268.50 = 573,268.50 : x
  2. Step 2: Convert to fraction form
    432,018/573,268.50 = 573,268.50/x
  3. Step 3: Cross multiply
    432,018x = 573,268.50 × 573,268.50
  4. Step 4: Simplify right side
    432,018x = 328,636,773,092.25
  5. Step 5: Solve for x
    x = 328,636,773,092.25/432,018
  6. Step 6: Final answer
    x = 760,701.58

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.