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Finding the Third Proportional to 480,411 and 695,830.50

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Solution

The third proportional to 480,411 and 695,830.50 is: 1,007,845.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,411 : 695,830.50 = 695,830.50 : x
  2. Step 2: Convert to fraction form
    480,411/695,830.50 = 695,830.50/x
  3. Step 3: Cross multiply
    480,411x = 695,830.50 × 695,830.50
  4. Step 4: Simplify right side
    480,411x = 484,180,084,730.25
  5. Step 5: Solve for x
    x = 484,180,084,730.25/480,411
  6. Step 6: Final answer
    x = 1,007,845.54

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.