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Finding the Third Proportional to 357,132.63 and 762,699.50

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Solution

The third proportional to 357,132.63 and 762,699.50 is: 1,628,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,132.63 : 762,699.50 = 762,699.50 : x
  2. Step 2: Convert to fraction form
    357,132.63/762,699.50 = 762,699.50/x
  3. Step 3: Cross multiply
    357,132.63x = 762,699.50 × 762,699.50
  4. Step 4: Simplify right side
    357,132.63x = 581,710,527,300.25
  5. Step 5: Solve for x
    x = 581,710,527,300.25/357,132.63
  6. Step 6: Final answer
    x = 1,628,836.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.