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Finding the Third Proportional to 708,592.64 and 1,076,011.17

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Solution

The third proportional to 708,592.64 and 1,076,011.17 is: 1,633,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,592.64 : 1,076,011.17 = 1,076,011.17 : x
  2. Step 2: Convert to fraction form
    708,592.64/1,076,011.17 = 1,076,011.17/x
  3. Step 3: Cross multiply
    708,592.64x = 1,076,011.17 × 1,076,011.17
  4. Step 4: Simplify right side
    708,592.64x = 1,157,800,041,999.81
  5. Step 5: Solve for x
    x = 1,157,800,041,999.81/708,592.64
  6. Step 6: Final answer
    x = 1,633,943.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.