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Finding the Third Proportional to 210,055 and 460,929.50

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Solution

The third proportional to 210,055 and 460,929.50 is: 1,011,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,055 : 460,929.50 = 460,929.50 : x
  2. Step 2: Convert to fraction form
    210,055/460,929.50 = 460,929.50/x
  3. Step 3: Cross multiply
    210,055x = 460,929.50 × 460,929.50
  4. Step 4: Simplify right side
    210,055x = 212,456,003,970.25
  5. Step 5: Solve for x
    x = 212,456,003,970.25/210,055
  6. Step 6: Final answer
    x = 1,011,430.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.