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Finding the Third Proportional to 437,148 and 695,106

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Solution

The third proportional to 437,148 and 695,106 is: 1,105,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,148 : 695,106 = 695,106 : x
  2. Step 2: Convert to fraction form
    437,148/695,106 = 695,106/x
  3. Step 3: Cross multiply
    437,148x = 695,106 × 695,106
  4. Step 4: Simplify right side
    437,148x = 483,172,351,236
  5. Step 5: Solve for x
    x = 483,172,351,236/437,148
  6. Step 6: Final answer
    x = 1,105,283.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.