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Finding the Third Proportional to 473,212.50 and 1,032,070.50

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Solution

The third proportional to 473,212.50 and 1,032,070.50 is: 2,250,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,212.50 : 1,032,070.50 = 1,032,070.50 : x
  2. Step 2: Convert to fraction form
    473,212.50/1,032,070.50 = 1,032,070.50/x
  3. Step 3: Cross multiply
    473,212.50x = 1,032,070.50 × 1,032,070.50
  4. Step 4: Simplify right side
    473,212.50x = 1,065,169,516,970.25
  5. Step 5: Solve for x
    x = 1,065,169,516,970.25/473,212.50
  6. Step 6: Final answer
    x = 2,250,932.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.