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Finding the Third Proportional to 346,095 and 736,416

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Solution

The third proportional to 346,095 and 736,416 is: 1,566,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,095 : 736,416 = 736,416 : x
  2. Step 2: Convert to fraction form
    346,095/736,416 = 736,416/x
  3. Step 3: Cross multiply
    346,095x = 736,416 × 736,416
  4. Step 4: Simplify right side
    346,095x = 542,308,525,056
  5. Step 5: Solve for x
    x = 542,308,525,056/346,095
  6. Step 6: Final answer
    x = 1,566,935.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.