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Finding the Third Proportional to 700,776 and 1,065,335.50

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Solution

The third proportional to 700,776 and 1,065,335.50 is: 1,619,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,776 : 1,065,335.50 = 1,065,335.50 : x
  2. Step 2: Convert to fraction form
    700,776/1,065,335.50 = 1,065,335.50/x
  3. Step 3: Cross multiply
    700,776x = 1,065,335.50 × 1,065,335.50
  4. Step 4: Simplify right side
    700,776x = 1,134,939,727,560.25
  5. Step 5: Solve for x
    x = 1,134,939,727,560.25/700,776
  6. Step 6: Final answer
    x = 1,619,547.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.