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Finding the Third Proportional to 760,495.50 and 1,652,364

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Solution

The third proportional to 760,495.50 and 1,652,364 is: 3,590,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,495.50 : 1,652,364 = 1,652,364 : x
  2. Step 2: Convert to fraction form
    760,495.50/1,652,364 = 1,652,364/x
  3. Step 3: Cross multiply
    760,495.50x = 1,652,364 × 1,652,364
  4. Step 4: Simplify right side
    760,495.50x = 2,730,306,788,496
  5. Step 5: Solve for x
    x = 2,730,306,788,496/760,495.50
  6. Step 6: Final answer
    x = 3,590,168.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.