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Finding the Third Proportional to 697,432.50 and 1,077,225.75

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Solution

The third proportional to 697,432.50 and 1,077,225.75 is: 1,663,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,432.50 : 1,077,225.75 = 1,077,225.75 : x
  2. Step 2: Convert to fraction form
    697,432.50/1,077,225.75 = 1,077,225.75/x
  3. Step 3: Cross multiply
    697,432.50x = 1,077,225.75 × 1,077,225.75
  4. Step 4: Simplify right side
    697,432.50x = 1,160,415,316,463.06
  5. Step 5: Solve for x
    x = 1,160,415,316,463.06/697,432.50
  6. Step 6: Final answer
    x = 1,663,838.89

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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.