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Finding the Third Proportional to 705,465 and 1,080,985.50

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Solution

The third proportional to 705,465 and 1,080,985.50 is: 1,656,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,465 : 1,080,985.50 = 1,080,985.50 : x
  2. Step 2: Convert to fraction form
    705,465/1,080,985.50 = 1,080,985.50/x
  3. Step 3: Cross multiply
    705,465x = 1,080,985.50 × 1,080,985.50
  4. Step 4: Simplify right side
    705,465x = 1,168,529,651,210.25
  5. Step 5: Solve for x
    x = 1,168,529,651,210.25/705,465
  6. Step 6: Final answer
    x = 1,656,396.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.