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Finding the Third Proportional to 460,310 and 621,913

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Solution

The third proportional to 460,310 and 621,913 is: 840,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,310 : 621,913 = 621,913 : x
  2. Step 2: Convert to fraction form
    460,310/621,913 = 621,913/x
  3. Step 3: Cross multiply
    460,310x = 621,913 × 621,913
  4. Step 4: Simplify right side
    460,310x = 386,775,779,569
  5. Step 5: Solve for x
    x = 386,775,779,569/460,310
  6. Step 6: Final answer
    x = 840,250.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.