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Finding the Third Proportional to 289,030.50 and 444,602.25

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Solution

The third proportional to 289,030.50 and 444,602.25 is: 683,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,030.50 : 444,602.25 = 444,602.25 : x
  2. Step 2: Convert to fraction form
    289,030.50/444,602.25 = 444,602.25/x
  3. Step 3: Cross multiply
    289,030.50x = 444,602.25 × 444,602.25
  4. Step 4: Simplify right side
    289,030.50x = 197,671,160,705.06
  5. Step 5: Solve for x
    x = 197,671,160,705.06/289,030.50
  6. Step 6: Final answer
    x = 683,911.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.