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Finding the Third Proportional to 303,507 and 464,008.50

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Solution

The third proportional to 303,507 and 464,008.50 is: 709,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,507 : 464,008.50 = 464,008.50 : x
  2. Step 2: Convert to fraction form
    303,507/464,008.50 = 464,008.50/x
  3. Step 3: Cross multiply
    303,507x = 464,008.50 × 464,008.50
  4. Step 4: Simplify right side
    303,507x = 215,303,888,072.25
  5. Step 5: Solve for x
    x = 215,303,888,072.25/303,507
  6. Step 6: Final answer
    x = 709,386.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.