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Finding the Third Proportional to 296,581.50 and 459,618

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Solution

The third proportional to 296,581.50 and 459,618 is: 712,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,581.50 : 459,618 = 459,618 : x
  2. Step 2: Convert to fraction form
    296,581.50/459,618 = 459,618/x
  3. Step 3: Cross multiply
    296,581.50x = 459,618 × 459,618
  4. Step 4: Simplify right side
    296,581.50x = 211,248,705,924
  5. Step 5: Solve for x
    x = 211,248,705,924/296,581.50
  6. Step 6: Final answer
    x = 712,278.77

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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.