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Finding the Third Proportional to 611,764.50 and 917,222

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Solution

The third proportional to 611,764.50 and 917,222 is: 1,375,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,764.50 : 917,222 = 917,222 : x
  2. Step 2: Convert to fraction form
    611,764.50/917,222 = 917,222/x
  3. Step 3: Cross multiply
    611,764.50x = 917,222 × 917,222
  4. Step 4: Simplify right side
    611,764.50x = 841,296,197,284
  5. Step 5: Solve for x
    x = 841,296,197,284/611,764.50
  6. Step 6: Final answer
    x = 1,375,196.17

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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.