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Finding the Third Proportional to 357,152.63 and 484,516.69

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Solution

The third proportional to 357,152.63 and 484,516.69 is: 657,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,152.63 : 484,516.69 = 484,516.69 : x
  2. Step 2: Convert to fraction form
    357,152.63/484,516.69 = 484,516.69/x
  3. Step 3: Cross multiply
    357,152.63x = 484,516.69 × 484,516.69
  4. Step 4: Simplify right side
    357,152.63x = 234,756,420,465.97
  5. Step 5: Solve for x
    x = 234,756,420,465.97/357,152.63
  6. Step 6: Final answer
    x = 657,300.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.