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Finding the Third Proportional to 697,534.50 and 739,054.50

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Solution

The third proportional to 697,534.50 and 739,054.50 is: 783,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,534.50 : 739,054.50 = 739,054.50 : x
  2. Step 2: Convert to fraction form
    697,534.50/739,054.50 = 739,054.50/x
  3. Step 3: Cross multiply
    697,534.50x = 739,054.50 × 739,054.50
  4. Step 4: Simplify right side
    697,534.50x = 546,201,553,970.25
  5. Step 5: Solve for x
    x = 546,201,553,970.25/697,534.50
  6. Step 6: Final answer
    x = 783,045.93

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.