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Finding the Third Proportional to 460,904.50 and 940,102.50

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Solution

The third proportional to 460,904.50 and 940,102.50 is: 1,917,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,904.50 : 940,102.50 = 940,102.50 : x
  2. Step 2: Convert to fraction form
    460,904.50/940,102.50 = 940,102.50/x
  3. Step 3: Cross multiply
    460,904.50x = 940,102.50 × 940,102.50
  4. Step 4: Simplify right side
    460,904.50x = 883,792,710,506.25
  5. Step 5: Solve for x
    x = 883,792,710,506.25/460,904.50
  6. Step 6: Final answer
    x = 1,917,518.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.