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Finding the Third Proportional to 460,094 and 702,596

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Solution

The third proportional to 460,094 and 702,596 is: 1,072,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,094 : 702,596 = 702,596 : x
  2. Step 2: Convert to fraction form
    460,094/702,596 = 702,596/x
  3. Step 3: Cross multiply
    460,094x = 702,596 × 702,596
  4. Step 4: Simplify right side
    460,094x = 493,641,139,216
  5. Step 5: Solve for x
    x = 493,641,139,216/460,094
  6. Step 6: Final answer
    x = 1,072,913.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.