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Finding the Third Proportional to 286,483.50 and 607,117.36

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Solution

The third proportional to 286,483.50 and 607,117.36 is: 1,286,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,483.50 : 607,117.36 = 607,117.36 : x
  2. Step 2: Convert to fraction form
    286,483.50/607,117.36 = 607,117.36/x
  3. Step 3: Cross multiply
    286,483.50x = 607,117.36 × 607,117.36
  4. Step 4: Simplify right side
    286,483.50x = 368,591,488,054.47
  5. Step 5: Solve for x
    x = 368,591,488,054.47/286,483.50
  6. Step 6: Final answer
    x = 1,286,606.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.