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Finding the Third Proportional to 760,368.94 and 1,176,953.63

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Solution

The third proportional to 760,368.94 and 1,176,953.63 is: 1,821,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,368.94 : 1,176,953.63 = 1,176,953.63 : x
  2. Step 2: Convert to fraction form
    760,368.94/1,176,953.63 = 1,176,953.63/x
  3. Step 3: Cross multiply
    760,368.94x = 1,176,953.63 × 1,176,953.63
  4. Step 4: Simplify right side
    760,368.94x = 1,385,219,835,400.64
  5. Step 5: Solve for x
    x = 1,385,219,835,400.64/760,368.94
  6. Step 6: Final answer
    x = 1,821,773.31

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