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Finding the Third Proportional to 616,929 and 840,460.50

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Solution

The third proportional to 616,929 and 840,460.50 is: 1,144,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,929 : 840,460.50 = 840,460.50 : x
  2. Step 2: Convert to fraction form
    616,929/840,460.50 = 840,460.50/x
  3. Step 3: Cross multiply
    616,929x = 840,460.50 × 840,460.50
  4. Step 4: Simplify right side
    616,929x = 706,373,852,060.25
  5. Step 5: Solve for x
    x = 706,373,852,060.25/616,929
  6. Step 6: Final answer
    x = 1,144,984.03

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.