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Finding the Third Proportional to 460,450 and 710,359

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Solution

The third proportional to 460,450 and 710,359 is: 1,095,905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,450 : 710,359 = 710,359 : x
  2. Step 2: Convert to fraction form
    460,450/710,359 = 710,359/x
  3. Step 3: Cross multiply
    460,450x = 710,359 × 710,359
  4. Step 4: Simplify right side
    460,450x = 504,609,908,881
  5. Step 5: Solve for x
    x = 504,609,908,881/460,450
  6. Step 6: Final answer
    x = 1,095,905.98

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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.