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Finding the Third Proportional to 470,348 and 709,928.50

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Solution

The third proportional to 470,348 and 709,928.50 is: 1,071,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,348 : 709,928.50 = 709,928.50 : x
  2. Step 2: Convert to fraction form
    470,348/709,928.50 = 709,928.50/x
  3. Step 3: Cross multiply
    470,348x = 709,928.50 × 709,928.50
  4. Step 4: Simplify right side
    470,348x = 503,998,475,112.25
  5. Step 5: Solve for x
    x = 503,998,475,112.25/470,348
  6. Step 6: Final answer
    x = 1,071,543.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.