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Finding the Third Proportional to 536,218 and 750,013

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Solution

The third proportional to 536,218 and 750,013 is: 1,049,050.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,218 : 750,013 = 750,013 : x
  2. Step 2: Convert to fraction form
    536,218/750,013 = 750,013/x
  3. Step 3: Cross multiply
    536,218x = 750,013 × 750,013
  4. Step 4: Simplify right side
    536,218x = 562,519,500,169
  5. Step 5: Solve for x
    x = 562,519,500,169/536,218
  6. Step 6: Final answer
    x = 1,049,050.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.