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Finding the Third Proportional to 536,214 and 750,007

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Solution

The third proportional to 536,214 and 750,007 is: 1,049,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,214 : 750,007 = 750,007 : x
  2. Step 2: Convert to fraction form
    536,214/750,007 = 750,007/x
  3. Step 3: Cross multiply
    536,214x = 750,007 × 750,007
  4. Step 4: Simplify right side
    536,214x = 562,510,500,049
  5. Step 5: Solve for x
    x = 562,510,500,049/536,214
  6. Step 6: Final answer
    x = 1,049,041.05

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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.