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Finding the Third Proportional to 596,977.50 and 918,693

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Solution

The third proportional to 596,977.50 and 918,693 is: 1,413,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,977.50 : 918,693 = 918,693 : x
  2. Step 2: Convert to fraction form
    596,977.50/918,693 = 918,693/x
  3. Step 3: Cross multiply
    596,977.50x = 918,693 × 918,693
  4. Step 4: Simplify right side
    596,977.50x = 843,996,828,249
  5. Step 5: Solve for x
    x = 843,996,828,249/596,977.50
  6. Step 6: Final answer
    x = 1,413,783.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.