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Finding the Third Proportional to 596,430 and 886,545

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Solution

The third proportional to 596,430 and 886,545 is: 1,317,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,430 : 886,545 = 886,545 : x
  2. Step 2: Convert to fraction form
    596,430/886,545 = 886,545/x
  3. Step 3: Cross multiply
    596,430x = 886,545 × 886,545
  4. Step 4: Simplify right side
    596,430x = 785,962,037,025
  5. Step 5: Solve for x
    x = 785,962,037,025/596,430
  6. Step 6: Final answer
    x = 1,317,777.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.