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Finding the Third Proportional to 356,526 and 534,865.50

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Solution

The third proportional to 356,526 and 534,865.50 is: 802,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,526 : 534,865.50 = 534,865.50 : x
  2. Step 2: Convert to fraction form
    356,526/534,865.50 = 534,865.50/x
  3. Step 3: Cross multiply
    356,526x = 534,865.50 × 534,865.50
  4. Step 4: Simplify right side
    356,526x = 286,081,103,090.25
  5. Step 5: Solve for x
    x = 286,081,103,090.25/356,526
  6. Step 6: Final answer
    x = 802,413.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.