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Finding the Third Proportional to 469,648 and 714,618

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Solution

The third proportional to 469,648 and 714,618 is: 1,087,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,648 : 714,618 = 714,618 : x
  2. Step 2: Convert to fraction form
    469,648/714,618 = 714,618/x
  3. Step 3: Cross multiply
    469,648x = 714,618 × 714,618
  4. Step 4: Simplify right side
    469,648x = 510,678,885,924
  5. Step 5: Solve for x
    x = 510,678,885,924/469,648
  6. Step 6: Final answer
    x = 1,087,365.19

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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.