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Finding the Third Proportional to 315,495 and 684,221.63

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Solution

The third proportional to 315,495 and 684,221.63 is: 1,483,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,495 : 684,221.63 = 684,221.63 : x
  2. Step 2: Convert to fraction form
    315,495/684,221.63 = 684,221.63/x
  3. Step 3: Cross multiply
    315,495x = 684,221.63 × 684,221.63
  4. Step 4: Simplify right side
    315,495x = 468,159,232,117.64
  5. Step 5: Solve for x
    x = 468,159,232,117.64/315,495
  6. Step 6: Final answer
    x = 1,483,887.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.