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Finding the Third Proportional to 460,779 and 715,156.50

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Solution

The third proportional to 460,779 and 715,156.50 is: 1,109,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,779 : 715,156.50 = 715,156.50 : x
  2. Step 2: Convert to fraction form
    460,779/715,156.50 = 715,156.50/x
  3. Step 3: Cross multiply
    460,779x = 715,156.50 × 715,156.50
  4. Step 4: Simplify right side
    460,779x = 511,448,819,492.25
  5. Step 5: Solve for x
    x = 511,448,819,492.25/460,779
  6. Step 6: Final answer
    x = 1,109,965.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.