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Finding the Third Proportional to 423,852.75 and 636,727.50

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Solution

The third proportional to 423,852.75 and 636,727.50 is: 956,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,852.75 : 636,727.50 = 636,727.50 : x
  2. Step 2: Convert to fraction form
    423,852.75/636,727.50 = 636,727.50/x
  3. Step 3: Cross multiply
    423,852.75x = 636,727.50 × 636,727.50
  4. Step 4: Simplify right side
    423,852.75x = 405,421,909,256.25
  5. Step 5: Solve for x
    x = 405,421,909,256.25/423,852.75
  6. Step 6: Final answer
    x = 956,515.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.