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Finding the Third Proportional to 295,635 and 456,576

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Solution

The third proportional to 295,635 and 456,576 is: 705,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,635 : 456,576 = 456,576 : x
  2. Step 2: Convert to fraction form
    295,635/456,576 = 456,576/x
  3. Step 3: Cross multiply
    295,635x = 456,576 × 456,576
  4. Step 4: Simplify right side
    295,635x = 208,461,643,776
  5. Step 5: Solve for x
    x = 208,461,643,776/295,635
  6. Step 6: Final answer
    x = 705,131.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.