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Finding the Third Proportional to 364,688.58 and 535,200.54

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Solution

The third proportional to 364,688.58 and 535,200.54 is: 785,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,688.58 : 535,200.54 = 535,200.54 : x
  2. Step 2: Convert to fraction form
    364,688.58/535,200.54 = 535,200.54/x
  3. Step 3: Cross multiply
    364,688.58x = 535,200.54 × 535,200.54
  4. Step 4: Simplify right side
    364,688.58x = 286,439,617,012.79
  5. Step 5: Solve for x
    x = 286,439,617,012.79/364,688.58
  6. Step 6: Final answer
    x = 785,436.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.