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Finding the Third Proportional to 470,088 and 716,155

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Solution

The third proportional to 470,088 and 716,155 is: 1,091,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,088 : 716,155 = 716,155 : x
  2. Step 2: Convert to fraction form
    470,088/716,155 = 716,155/x
  3. Step 3: Cross multiply
    470,088x = 716,155 × 716,155
  4. Step 4: Simplify right side
    470,088x = 512,877,984,025
  5. Step 5: Solve for x
    x = 512,877,984,025/470,088
  6. Step 6: Final answer
    x = 1,091,025.48

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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.