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Finding the Third Proportional to 187,457.63 and 406,063.13

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Solution

The third proportional to 187,457.63 and 406,063.13 is: 879,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,457.63 : 406,063.13 = 406,063.13 : x
  2. Step 2: Convert to fraction form
    187,457.63/406,063.13 = 406,063.13/x
  3. Step 3: Cross multiply
    187,457.63x = 406,063.13 × 406,063.13
  4. Step 4: Simplify right side
    187,457.63x = 164,887,261,484.77
  5. Step 5: Solve for x
    x = 164,887,261,484.77/187,457.63
  6. Step 6: Final answer
    x = 879,597.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.