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Finding the Third Proportional to 229,509 and 499,018.50

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Solution

The third proportional to 229,509 and 499,018.50 is: 1,085,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,509 : 499,018.50 = 499,018.50 : x
  2. Step 2: Convert to fraction form
    229,509/499,018.50 = 499,018.50/x
  3. Step 3: Cross multiply
    229,509x = 499,018.50 × 499,018.50
  4. Step 4: Simplify right side
    229,509x = 249,019,463,342.25
  5. Step 5: Solve for x
    x = 249,019,463,342.25/229,509
  6. Step 6: Final answer
    x = 1,085,009.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.