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Finding the Third Proportional to 695,344.50 and 1,076,095.13

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Solution

The third proportional to 695,344.50 and 1,076,095.13 is: 1,665,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,344.50 : 1,076,095.13 = 1,076,095.13 : x
  2. Step 2: Convert to fraction form
    695,344.50/1,076,095.13 = 1,076,095.13/x
  3. Step 3: Cross multiply
    695,344.50x = 1,076,095.13 × 1,076,095.13
  4. Step 4: Simplify right side
    695,344.50x = 1,157,980,718,048.77
  5. Step 5: Solve for x
    x = 1,157,980,718,048.77/695,344.50
  6. Step 6: Final answer
    x = 1,665,333.83

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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.