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Finding the Third Proportional to 302,736 and 432,112.50

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Solution

The third proportional to 302,736 and 432,112.50 is: 616,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,736 : 432,112.50 = 432,112.50 : x
  2. Step 2: Convert to fraction form
    302,736/432,112.50 = 432,112.50/x
  3. Step 3: Cross multiply
    302,736x = 432,112.50 × 432,112.50
  4. Step 4: Simplify right side
    302,736x = 186,721,212,656.25
  5. Step 5: Solve for x
    x = 186,721,212,656.25/302,736
  6. Step 6: Final answer
    x = 616,779.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.