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Finding the Third Proportional to 286,484 and 623,942

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Solution

The third proportional to 286,484 and 623,942 is: 1,358,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,484 : 623,942 = 623,942 : x
  2. Step 2: Convert to fraction form
    286,484/623,942 = 623,942/x
  3. Step 3: Cross multiply
    286,484x = 623,942 × 623,942
  4. Step 4: Simplify right side
    286,484x = 389,303,619,364
  5. Step 5: Solve for x
    x = 389,303,619,364/286,484
  6. Step 6: Final answer
    x = 1,358,901.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.