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Finding the Third Proportional to 210,654 and 450,832.50

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Solution

The third proportional to 210,654 and 450,832.50 is: 964,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,654 : 450,832.50 = 450,832.50 : x
  2. Step 2: Convert to fraction form
    210,654/450,832.50 = 450,832.50/x
  3. Step 3: Cross multiply
    210,654x = 450,832.50 × 450,832.50
  4. Step 4: Simplify right side
    210,654x = 203,249,943,056.25
  5. Step 5: Solve for x
    x = 203,249,943,056.25/210,654
  6. Step 6: Final answer
    x = 964,852.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.