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Finding the Third Proportional to 684,859.50 and 1,064,587.50

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Solution

The third proportional to 684,859.50 and 1,064,587.50 is: 1,654,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,859.50 : 1,064,587.50 = 1,064,587.50 : x
  2. Step 2: Convert to fraction form
    684,859.50/1,064,587.50 = 1,064,587.50/x
  3. Step 3: Cross multiply
    684,859.50x = 1,064,587.50 × 1,064,587.50
  4. Step 4: Simplify right side
    684,859.50x = 1,133,346,545,156.25
  5. Step 5: Solve for x
    x = 1,133,346,545,156.25/684,859.50
  6. Step 6: Final answer
    x = 1,654,859.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.