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Finding the Third Proportional to 432,024.75 and 1,009,310.63

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Solution

The third proportional to 432,024.75 and 1,009,310.63 is: 2,357,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,024.75 : 1,009,310.63 = 1,009,310.63 : x
  2. Step 2: Convert to fraction form
    432,024.75/1,009,310.63 = 1,009,310.63/x
  3. Step 3: Cross multiply
    432,024.75x = 1,009,310.63 × 1,009,310.63
  4. Step 4: Simplify right side
    432,024.75x = 1,018,707,937,737.89
  5. Step 5: Solve for x
    x = 1,018,707,937,737.89/432,024.75
  6. Step 6: Final answer
    x = 2,357,985.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.