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Finding the Third Proportional to 533,254 and 749,985

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Solution

The third proportional to 533,254 and 749,985 is: 1,054,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,254 : 749,985 = 749,985 : x
  2. Step 2: Convert to fraction form
    533,254/749,985 = 749,985/x
  3. Step 3: Cross multiply
    533,254x = 749,985 × 749,985
  4. Step 4: Simplify right side
    533,254x = 562,477,500,225
  5. Step 5: Solve for x
    x = 562,477,500,225/533,254
  6. Step 6: Final answer
    x = 1,054,802.21

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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.