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Finding the Third Proportional to 370,430 and 563,637

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Solution

The third proportional to 370,430 and 563,637 is: 857,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,430 : 563,637 = 563,637 : x
  2. Step 2: Convert to fraction form
    370,430/563,637 = 563,637/x
  3. Step 3: Cross multiply
    370,430x = 563,637 × 563,637
  4. Step 4: Simplify right side
    370,430x = 317,686,667,769
  5. Step 5: Solve for x
    x = 317,686,667,769/370,430
  6. Step 6: Final answer
    x = 857,615.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.