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Finding the Third Proportional to 346,332 and 760,742

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Solution

The third proportional to 346,332 and 760,742 is: 1,671,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,332 : 760,742 = 760,742 : x
  2. Step 2: Convert to fraction form
    346,332/760,742 = 760,742/x
  3. Step 3: Cross multiply
    346,332x = 760,742 × 760,742
  4. Step 4: Simplify right side
    346,332x = 578,728,390,564
  5. Step 5: Solve for x
    x = 578,728,390,564/346,332
  6. Step 6: Final answer
    x = 1,671,022.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.