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Finding the Third Proportional to 465,638.63 and 713,836.13

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Solution

The third proportional to 465,638.63 and 713,836.13 is: 1,094,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,638.63 : 713,836.13 = 713,836.13 : x
  2. Step 2: Convert to fraction form
    465,638.63/713,836.13 = 713,836.13/x
  3. Step 3: Cross multiply
    465,638.63x = 713,836.13 × 713,836.13
  4. Step 4: Simplify right side
    465,638.63x = 509,562,013,355.02
  5. Step 5: Solve for x
    x = 509,562,013,355.02/465,638.63
  6. Step 6: Final answer
    x = 1,094,329.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.