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Finding the Third Proportional to 470,068 and 716,118

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Solution

The third proportional to 470,068 and 716,118 is: 1,090,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,068 : 716,118 = 716,118 : x
  2. Step 2: Convert to fraction form
    470,068/716,118 = 716,118/x
  3. Step 3: Cross multiply
    470,068x = 716,118 × 716,118
  4. Step 4: Simplify right side
    470,068x = 512,824,989,924
  5. Step 5: Solve for x
    x = 512,824,989,924/470,068
  6. Step 6: Final answer
    x = 1,090,959.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.