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Finding the Third Proportional to 357,935.63 and 771,913.13

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Solution

The third proportional to 357,935.63 and 771,913.13 is: 1,664,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,935.63 : 771,913.13 = 771,913.13 : x
  2. Step 2: Convert to fraction form
    357,935.63/771,913.13 = 771,913.13/x
  3. Step 3: Cross multiply
    357,935.63x = 771,913.13 × 771,913.13
  4. Step 4: Simplify right side
    357,935.63x = 595,849,872,547.27
  5. Step 5: Solve for x
    x = 595,849,872,547.27/357,935.63
  6. Step 6: Final answer
    x = 1,664,684.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.