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Finding the Third Proportional to 697,310 and 1,076,724.50

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Solution

The third proportional to 697,310 and 1,076,724.50 is: 1,662,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,310 : 1,076,724.50 = 1,076,724.50 : x
  2. Step 2: Convert to fraction form
    697,310/1,076,724.50 = 1,076,724.50/x
  3. Step 3: Cross multiply
    697,310x = 1,076,724.50 × 1,076,724.50
  4. Step 4: Simplify right side
    697,310x = 1,159,335,648,900.25
  5. Step 5: Solve for x
    x = 1,159,335,648,900.25/697,310
  6. Step 6: Final answer
    x = 1,662,582.85

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