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Finding the Third Proportional to 504,605 and 596,765

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Solution

The third proportional to 504,605 and 596,765 is: 705,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,605 : 596,765 = 596,765 : x
  2. Step 2: Convert to fraction form
    504,605/596,765 = 596,765/x
  3. Step 3: Cross multiply
    504,605x = 596,765 × 596,765
  4. Step 4: Simplify right side
    504,605x = 356,128,465,225
  5. Step 5: Solve for x
    x = 356,128,465,225/504,605
  6. Step 6: Final answer
    x = 705,756.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.