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Finding the Third Proportional to 503,628 and 1,081,798.50

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Solution

The third proportional to 503,628 and 1,081,798.50 is: 2,323,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,628 : 1,081,798.50 = 1,081,798.50 : x
  2. Step 2: Convert to fraction form
    503,628/1,081,798.50 = 1,081,798.50/x
  3. Step 3: Cross multiply
    503,628x = 1,081,798.50 × 1,081,798.50
  4. Step 4: Simplify right side
    503,628x = 1,170,287,994,602.25
  5. Step 5: Solve for x
    x = 1,170,287,994,602.25/503,628
  6. Step 6: Final answer
    x = 2,323,715.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.