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Finding the Third Proportional to 346,054.13 and 741,314.63

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Solution

The third proportional to 346,054.13 and 741,314.63 is: 1,588,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,054.13 : 741,314.63 = 741,314.63 : x
  2. Step 2: Convert to fraction form
    346,054.13/741,314.63 = 741,314.63/x
  3. Step 3: Cross multiply
    346,054.13x = 741,314.63 × 741,314.63
  4. Step 4: Simplify right side
    346,054.13x = 549,547,373,238.89
  5. Step 5: Solve for x
    x = 549,547,373,238.89/346,054.13
  6. Step 6: Final answer
    x = 1,588,038.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.