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Finding the Third Proportional to 473,312 and 714,896

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Solution

The third proportional to 473,312 and 714,896 is: 1,079,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,312 : 714,896 = 714,896 : x
  2. Step 2: Convert to fraction form
    473,312/714,896 = 714,896/x
  3. Step 3: Cross multiply
    473,312x = 714,896 × 714,896
  4. Step 4: Simplify right side
    473,312x = 511,076,290,816
  5. Step 5: Solve for x
    x = 511,076,290,816/473,312
  6. Step 6: Final answer
    x = 1,079,787.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.