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Finding the Third Proportional to 294,547.63 and 453,303.19

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Solution

The third proportional to 294,547.63 and 453,303.19 is: 697,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,547.63 : 453,303.19 = 453,303.19 : x
  2. Step 2: Convert to fraction form
    294,547.63/453,303.19 = 453,303.19/x
  3. Step 3: Cross multiply
    294,547.63x = 453,303.19 × 453,303.19
  4. Step 4: Simplify right side
    294,547.63x = 205,483,779,797.66
  5. Step 5: Solve for x
    x = 205,483,779,797.66/294,547.63
  6. Step 6: Final answer
    x = 697,624.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.