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Finding the Third Proportional to 301,125 and 443,368.50

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Solution

The third proportional to 301,125 and 443,368.50 is: 652,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,125 : 443,368.50 = 443,368.50 : x
  2. Step 2: Convert to fraction form
    301,125/443,368.50 = 443,368.50/x
  3. Step 3: Cross multiply
    301,125x = 443,368.50 × 443,368.50
  4. Step 4: Simplify right side
    301,125x = 196,575,626,792.25
  5. Step 5: Solve for x
    x = 196,575,626,792.25/301,125
  6. Step 6: Final answer
    x = 652,804.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.