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Finding the Third Proportional to 484,095 and 710,590.50

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Solution

The third proportional to 484,095 and 710,590.50 is: 1,043,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,095 : 710,590.50 = 710,590.50 : x
  2. Step 2: Convert to fraction form
    484,095/710,590.50 = 710,590.50/x
  3. Step 3: Cross multiply
    484,095x = 710,590.50 × 710,590.50
  4. Step 4: Simplify right side
    484,095x = 504,938,858,690.25
  5. Step 5: Solve for x
    x = 504,938,858,690.25/484,095
  6. Step 6: Final answer
    x = 1,043,057.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.