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Finding the Third Proportional to 470,011.50 and 716,032.50

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Solution

The third proportional to 470,011.50 and 716,032.50 is: 1,090,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,011.50 : 716,032.50 = 716,032.50 : x
  2. Step 2: Convert to fraction form
    470,011.50/716,032.50 = 716,032.50/x
  3. Step 3: Cross multiply
    470,011.50x = 716,032.50 × 716,032.50
  4. Step 4: Simplify right side
    470,011.50x = 512,702,541,056.25
  5. Step 5: Solve for x
    x = 512,702,541,056.25/470,011.50
  6. Step 6: Final answer
    x = 1,090,829.78

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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.