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Finding the Third Proportional to 760,378.50 and 1,176,968.50

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Solution

The third proportional to 760,378.50 and 1,176,968.50 is: 1,821,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,378.50 : 1,176,968.50 = 1,176,968.50 : x
  2. Step 2: Convert to fraction form
    760,378.50/1,176,968.50 = 1,176,968.50/x
  3. Step 3: Cross multiply
    760,378.50x = 1,176,968.50 × 1,176,968.50
  4. Step 4: Simplify right side
    760,378.50x = 1,385,254,849,992.25
  5. Step 5: Solve for x
    x = 1,385,254,849,992.25/760,378.50
  6. Step 6: Final answer
    x = 1,821,796.45

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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.