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Finding the Third Proportional to 432,009 and 573,256.50

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Solution

The third proportional to 432,009 and 573,256.50 is: 760,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,009 : 573,256.50 = 573,256.50 : x
  2. Step 2: Convert to fraction form
    432,009/573,256.50 = 573,256.50/x
  3. Step 3: Cross multiply
    432,009x = 573,256.50 × 573,256.50
  4. Step 4: Simplify right side
    432,009x = 328,623,014,792.25
  5. Step 5: Solve for x
    x = 328,623,014,792.25/432,009
  6. Step 6: Final answer
    x = 760,685.58

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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.