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Finding the Third Proportional to 363,896 and 535,440

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Solution

The third proportional to 363,896 and 535,440 is: 787,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,896 : 535,440 = 535,440 : x
  2. Step 2: Convert to fraction form
    363,896/535,440 = 535,440/x
  3. Step 3: Cross multiply
    363,896x = 535,440 × 535,440
  4. Step 4: Simplify right side
    363,896x = 286,695,993,600
  5. Step 5: Solve for x
    x = 286,695,993,600/363,896
  6. Step 6: Final answer
    x = 787,851.46

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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.