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Finding the Third Proportional to 504,607 and 596,767

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Solution

The third proportional to 504,607 and 596,767 is: 705,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,607 : 596,767 = 596,767 : x
  2. Step 2: Convert to fraction form
    504,607/596,767 = 596,767/x
  3. Step 3: Cross multiply
    504,607x = 596,767 × 596,767
  4. Step 4: Simplify right side
    504,607x = 356,130,852,289
  5. Step 5: Solve for x
    x = 356,130,852,289/504,607
  6. Step 6: Final answer
    x = 705,758.84

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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.