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Finding the Third Proportional to 539,430 and 777,033

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Solution

The third proportional to 539,430 and 777,033 is: 1,119,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,430 : 777,033 = 777,033 : x
  2. Step 2: Convert to fraction form
    539,430/777,033 = 777,033/x
  3. Step 3: Cross multiply
    539,430x = 777,033 × 777,033
  4. Step 4: Simplify right side
    539,430x = 603,780,283,089
  5. Step 5: Solve for x
    x = 603,780,283,089/539,430
  6. Step 6: Final answer
    x = 1,119,293.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.