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Finding the Third Proportional to 346,458.94 and 740,798.16

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Solution

The third proportional to 346,458.94 and 740,798.16 is: 1,583,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,458.94 : 740,798.16 = 740,798.16 : x
  2. Step 2: Convert to fraction form
    346,458.94/740,798.16 = 740,798.16/x
  3. Step 3: Cross multiply
    346,458.94x = 740,798.16 × 740,798.16
  4. Step 4: Simplify right side
    346,458.94x = 548,781,908,303.40
  5. Step 5: Solve for x
    x = 548,781,908,303.40/346,458.94
  6. Step 6: Final answer
    x = 1,583,973.88

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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.