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Finding the Third Proportional to 305,637 and 671,779.50

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Solution

The third proportional to 305,637 and 671,779.50 is: 1,476,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,637 : 671,779.50 = 671,779.50 : x
  2. Step 2: Convert to fraction form
    305,637/671,779.50 = 671,779.50/x
  3. Step 3: Cross multiply
    305,637x = 671,779.50 × 671,779.50
  4. Step 4: Simplify right side
    305,637x = 451,287,696,620.25
  5. Step 5: Solve for x
    x = 451,287,696,620.25/305,637
  6. Step 6: Final answer
    x = 1,476,547.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.