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Finding the Third Proportional to 533,246 and 749,973

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Solution

The third proportional to 533,246 and 749,973 is: 1,054,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,246 : 749,973 = 749,973 : x
  2. Step 2: Convert to fraction form
    533,246/749,973 = 749,973/x
  3. Step 3: Cross multiply
    533,246x = 749,973 × 749,973
  4. Step 4: Simplify right side
    533,246x = 562,459,500,729
  5. Step 5: Solve for x
    x = 562,459,500,729/533,246
  6. Step 6: Final answer
    x = 1,054,784.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.