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Finding the Third Proportional to 470,428 and 706,702

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Solution

The third proportional to 470,428 and 706,702 is: 1,061,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,428 : 706,702 = 706,702 : x
  2. Step 2: Convert to fraction form
    470,428/706,702 = 706,702/x
  3. Step 3: Cross multiply
    470,428x = 706,702 × 706,702
  4. Step 4: Simplify right side
    470,428x = 499,427,716,804
  5. Step 5: Solve for x
    x = 499,427,716,804/470,428
  6. Step 6: Final answer
    x = 1,061,645.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.