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Finding the Third Proportional to 460,548 and 710,508

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Solution

The third proportional to 460,548 and 710,508 is: 1,096,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,548 : 710,508 = 710,508 : x
  2. Step 2: Convert to fraction form
    460,548/710,508 = 710,508/x
  3. Step 3: Cross multiply
    460,548x = 710,508 × 710,508
  4. Step 4: Simplify right side
    460,548x = 504,821,618,064
  5. Step 5: Solve for x
    x = 504,821,618,064/460,548
  6. Step 6: Final answer
    x = 1,096,132.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.