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Finding the Third Proportional to 760,373 and 1,176,960

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Solution

The third proportional to 760,373 and 1,176,960 is: 1,821,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,373 : 1,176,960 = 1,176,960 : x
  2. Step 2: Convert to fraction form
    760,373/1,176,960 = 1,176,960/x
  3. Step 3: Cross multiply
    760,373x = 1,176,960 × 1,176,960
  4. Step 4: Simplify right side
    760,373x = 1,385,234,841,600
  5. Step 5: Solve for x
    x = 1,385,234,841,600/760,373
  6. Step 6: Final answer
    x = 1,821,783.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.